67:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096354:0.100402:0.155949:0.100402:0.155949:0.083764:0.096354:0.083764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Julián va a comprar una maleta que cuesta $150. Para pagar, solo tiene billetes de :@0.096354:0.124121:0.716608:0.124121:0.716608:0.107732:0.096354:0.107732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
$10 y $5. ¿Cuántos billetes de cada tipo necesita para comprar la maleta?:@0.096354:0.140717:0.629646:0.140717:0.629646:0.124328:0.096354:0.124328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096354:0.168004:0.160132:0.168004:0.160132:0.151366:0.096354:0.151366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables::@0.096354:0.191723:0.290450:0.191723:0.290450:0.175334:0.096354:0.175334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.282805:0.215442:0.290268:0.215442:0.290268:0.200049:0.282805:0.200049:0.000000
: billetes de $10,  : billetes de $5.:@0.290268:0.215442:0.526048:0.215442:0.526048:0.199053:0.290268:0.199053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.410930:0.215442:0.418412:0.215442:0.418412:0.200049:0.410930:0.200049:0.000000
La ecuación formada es: 10  + 5  = 150. Dividimos la ecuación para 5 y obtenemos :@0.096354:0.239161:0.716589:0.239161:0.716589:0.222772:0.096354:0.222772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.297528:0.239161:0.304992:0.239161:0.304992:0.223768:0.297528:0.223768:0.000000
y:@0.334328:0.239161:0.341810:0.239161:0.341810:0.223768:0.334328:0.223768:0.000000
una ecuación equivalente: 2  +   = 30:@0.096354:0.255758:0.373283:0.255758:0.373283:0.239369:0.096354:0.239369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.302244:0.255758:0.309707:0.255758:0.309707:0.240365:0.302244:0.240365:0.000000
y:@0.328761:0.255758:0.336243:0.255758:0.336243:0.240365:0.328761:0.240365:0.000000
Para encontrar los puntos de la recta solución, despejamos  .:@0.096354:0.279477:0.540788:0.279477:0.540788:0.263088:0.096354:0.263088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.530100:0.279477:0.537582:0.279477:0.537582:0.264083:0.530100:0.264083:0.000000
y:@0.365305:0.303196:0.372787:0.303196:0.372787:0.287802:0.365305:0.287802:0.000000
 = 30 – 2:@0.372787:0.303196:0.436104:0.303196:0.436104:0.286807:0.372787:0.286807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.436104:0.303196:0.443567:0.303196:0.443567:0.287802:0.436104:0.287802:0.000000
Asignamos diferentes valores a  .:@0.096354:0.323360:0.337034:0.323360:0.337034:0.306971:0.096354:0.306971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.326364:0.323360:0.333827:0.323360:0.333827:0.307967:0.326364:0.307967:0.000000
x:@0.310036:0.357960:0.318378:0.357960:0.318378:0.342407:0.310036:0.342407:0.000000
y :@0.366709:0.357960:0.378118:0.357960:0.378118:0.342407:0.366709:0.342407:0.000000:0.000000
= 30 – 2:@0.378118:0.357960:0.433819:0.357960:0.433819:0.342596:0.378118:0.342596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.433819:0.357960:0.442162:0.357960:0.442162:0.342407:0.433819:0.342407:0.000000
y:@0.490493:0.357960:0.498819:0.357960:0.498819:0.342407:0.490493:0.342407:0.000000
3:@0.310120:0.379347:0.318295:0.379347:0.318295:0.364448:0.310120:0.364448:0.000000
y :@0.364046:0.379347:0.373862:0.379347:0.373862:0.365353:0.364046:0.365353:0.000000:0.000000
= 30 – 2(3):@0.373862:0.379347:0.444809:0.379347:0.444809:0.364448:0.373862:0.364448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24:@0.486472:0.379347:0.502822:0.379347:0.502822:0.364448:0.486472:0.364448:0.000000:0.000000
5:@0.310103:0.400733:0.318278:0.400733:0.318278:0.385834:0.310103:0.385834:0.000000
y :@0.364029:0.400733:0.373846:0.400733:0.373846:0.386739:0.364029:0.386739:0.000000:0.000000
= 30 – 2(5):@0.373846:0.400733:0.444792:0.400733:0.444792:0.385834:0.373846:0.385834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.486455:0.400733:0.502806:0.400733:0.502806:0.385834:0.486455:0.385834:0.000000:0.000000
7:@0.310086:0.422120:0.318261:0.422120:0.318261:0.407221:0.310086:0.407221:0.000000
y :@0.364012:0.422120:0.373829:0.422120:0.373829:0.408126:0.364012:0.408126:0.000000:0.000000
= 30 – 2(7):@0.373829:0.422120:0.444775:0.422120:0.444775:0.407221:0.373829:0.407221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.486439:0.422120:0.502789:0.422120:0.502789:0.407221:0.486439:0.407221:0.000000:0.000000
10:@0.305982:0.443507:0.322332:0.443507:0.322332:0.428608:0.305982:0.428608:0.000000:0.000000
y :@0.359908:0.443507:0.369725:0.443507:0.369725:0.429513:0.359908:0.429513:0.000000:0.000000
= 30 – 2(10):@0.369725:0.443507:0.448846:0.443507:0.448846:0.428608:0.369725:0.428608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.486422:0.443507:0.502772:0.443507:0.502772:0.428608:0.486422:0.428608:0.000000:0.000000
15:@0.305965:0.464893:0.322315:0.464893:0.322315:0.449994:0.305965:0.449994:0.000000:0.000000
y :@0.359891:0.464893:0.369708:0.464893:0.369708:0.450900:0.359891:0.450900:0.000000:0.000000
= 30 – 2(15):@0.369708:0.464893:0.448829:0.464893:0.448829:0.449994:0.369708:0.449994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.490493:0.464893:0.498668:0.464893:0.498668:0.449994:0.490493:0.449994:0.000000
De las soluciones obtenidas, se consideran solo las que satisfacen la ecuación del :@0.096359:0.497183:0.716556:0.497183:0.716556:0.480794:0.096359:0.480794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema: 10  + 5  = 150 o la ecuación equivalente   = 30 – 2:@0.096359:0.513780:0.548901:0.513780:0.548901:0.497391:0.096359:0.497391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.193270:0.513780:0.200733:0.513780:0.200733:0.498387:0.193270:0.498387:0.000000
y:@0.228780:0.513780:0.236262:0.513780:0.236262:0.498387:0.228780:0.498387:0.000000
y:@0.478102:0.513780:0.485584:0.513780:0.485584:0.498387:0.478102:0.498387:0.000000
x.:@0.548901:0.513780:0.559700:0.513780:0.559700:0.498387:0.548901:0.498387:0.000000:0.000000
Al tabular los datos que sí satisfacen la ecuación, tenemos la siguiente tabla de :@0.096359:0.537499:0.716615:0.537499:0.716615:0.521110:0.096359:0.521110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores::@0.096359:0.554095:0.151015:0.554095:0.151015:0.537706:0.096359:0.537706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.146052:0.619857:0.154394:0.619857:0.154394:0.604304:0.146052:0.604304:0.000000
y:@0.231539:0.619857:0.239865:0.619857:0.239865:0.604304:0.231539:0.604304:0.000000
Puntos:@0.295969:0.619857:0.346377:0.619857:0.346377:0.604493:0.295969:0.604493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.146135:0.641470:0.154311:0.641470:0.154311:0.626571:0.146135:0.626571:0.000000
24:@0.227518:0.641470:0.243869:0.641470:0.243869:0.626571:0.227518:0.626571:0.000000:0.000000
A (3, 24):@0.294444:0.641470:0.347901:0.641470:0.347901:0.626571:0.294444:0.626571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.146135:0.660958:0.154311:0.660958:0.154311:0.646059:0.146135:0.646059:0.000000
20:@0.227518:0.660958:0.243869:0.660958:0.243869:0.646059:0.227518:0.646059:0.000000:0.000000
B (5, 20):@0.295114:0.660958:0.347231:0.660958:0.347231:0.646059:0.295114:0.646059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.146135:0.680446:0.154311:0.680446:0.154311:0.665547:0.146135:0.665547:0.000000
16:@0.227518:0.680446:0.243869:0.680446:0.243869:0.665547:0.227518:0.665547:0.000000:0.000000
C (7, 16):@0.294562:0.680446:0.347767:0.680446:0.347767:0.665547:0.294562:0.665547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.142031:0.699934:0.158381:0.699934:0.158381:0.685035:0.142031:0.685035:0.000000:0.000000
10:@0.227586:0.699934:0.243768:0.699934:0.243768:0.685035:0.227586:0.685035:0.000000:0.000000
D (10, 10):@0.289821:0.699934:0.352491:0.699934:0.352491:0.685035:0.289821:0.685035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.142031:0.719423:0.158381:0.719423:0.158381:0.704524:0.142031:0.704524:0.000000:0.000000
0:@0.231589:0.719423:0.239764:0.719423:0.239764:0.704524:0.231589:0.704524:0.000000
E (15, 0):@0.295416:0.719423:0.346879:0.719423:0.346879:0.704524:0.295416:0.704524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Su representación gráfica es::@0.448530:0.590964:0.656944:0.590964:0.656944:0.574575:0.448530:0.574575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.545814:0.745544:0.550562:0.745544:0.550562:0.736892:0.545814:0.736892:0.000000
10:@0.594331:0.745544:0.603827:0.745544:0.603827:0.736892:0.594331:0.736892:0.000000:0.000000
15:@0.645223:0.745544:0.654718:0.745544:0.654718:0.736892:0.645223:0.736892:0.000000:0.000000
-5:@0.442532:0.745545:0.450179:0.745545:0.450179:0.736893:0.442532:0.736893:0.000000:0.000000
0:@0.499279:0.744084:0.504027:0.744084:0.504027:0.735432:0.499279:0.735432:0.000000
0:@0.490504:0.735812:0.495251:0.735812:0.495251:0.727159:0.490504:0.727159:0.000000
5:@0.488476:0.715040:0.493223:0.715040:0.493223:0.706387:0.488476:0.706387:0.000000
10:@0.483884:0.689973:0.493379:0.689973:0.493379:0.681320:0.483884:0.681320:0.000000:0.000000
15:@0.483932:0.665395:0.493428:0.665395:0.493428:0.656743:0.483932:0.656743:0.000000:0.000000
20:@0.483932:0.640526:0.493428:0.640526:0.493428:0.631874:0.483932:0.631874:0.000000:0.000000
25:@0.483903:0.615489:0.493398:0.615489:0.493398:0.606836:0.483903:0.606836:0.000000:0.000000
y:@0.487454:0.606402:0.493875:0.606402:0.493875:0.593424:0.487454:0.593424:0.000000
x:@0.685350:0.746198:0.691610:0.746198:0.691610:0.733219:0.685350:0.733219:0.000000
A:@0.531931:0.618701:0.540862:0.618701:0.540862:0.605536:0.531931:0.605536:0.000000
B:@0.552099:0.639007:0.560008:0.639007:0.560008:0.625842:0.552099:0.625842:0.000000
C:@0.573419:0.660167:0.581883:0.660167:0.581883:0.647002:0.573419:0.647002:0.000000
D:@0.603714:0.688763:0.613433:0.688763:0.613433:0.675599:0.603714:0.675599:0.000000
E:@0.652046:0.736724:0.659226:0.736724:0.659226:0.723559:0.652046:0.723559:0.000000
Mediante la gráfica trazada, se pueden dar diversas respuestas al problema. :@0.096359:0.779847:0.649754:0.779847:0.649754:0.763458:0.096359:0.763458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, para pagar $150::@0.096359:0.803566:0.314061:0.803566:0.314061:0.787177:0.096359:0.787177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.096359:0.827285:0.105757:0.827285:0.105757:0.810385:0.096359:0.810385:0.000000:0.000000
Se necesitan 3 billetes de $10 y 24 de $5.:@0.120094:0.827285:0.410421:0.827285:0.410421:0.810896:0.120094:0.810896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.096359:0.851004:0.105757:0.851004:0.105757:0.834104:0.096359:0.834104:0.000000:0.000000
Se necesitan 5 billetes de $10 y 20 billetes de $5.:@0.120094:0.851004:0.464967:0.851004:0.464967:0.834615:0.120094:0.834615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.096359:0.874723:0.105757:0.874723:0.105757:0.857823:0.096359:0.857823:0.000000:0.000000
Se necesitan 7 billetes de $10 y $ 16 billetes de $5.:@0.120094:0.874723:0.477627:0.874723:0.477627:0.858334:0.120094:0.858334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.096359:0.898442:0.105757:0.898442:0.105757:0.881542:0.096359:0.881542:0.000000:0.000000
Se necesitan 10 billetes de $10 y $ 10 billetes de $5.:@0.120094:0.898442:0.486435:0.898442:0.486435:0.882053:0.120094:0.882053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arbitrario.:@0.794059:0.103604:0.861873:0.103604:0.861873:0.088491:0.794059:0.088491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Que :@0.861873:0.103604:0.897472:0.103604:0.897472:0.088705:0.861873:0.088705:0.000000:0.000000:0.000000:0.000000:0.000000
depende solamente :@0.794059:0.118692:0.932565:0.118692:0.932565:0.103793:0.794059:0.103793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la voluntad o del :@0.794059:0.133779:0.930189:0.133779:0.930189:0.118880:0.794059:0.118880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
capricho de una :@0.794059:0.148867:0.906032:0.148867:0.906032:0.133968:0.794059:0.133968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
persona, y no obedece a :@0.735057:0.163955:0.902364:0.163955:0.902364:0.149056:0.735057:0.149056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principios dictados por la :@0.735057:0.179042:0.906986:0.179042:0.906986:0.164143:0.735057:0.164143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razón, la lógica o las leyes.:@0.735057:0.194130:0.906967:0.194130:0.906967:0.179231:0.735057:0.179231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen calculadoras, :@0.755006:0.335970:0.894971:0.335970:0.894971:0.321071:0.755006:0.321071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como la fx 9860 GSD, que :@0.755006:0.351057:0.929044:0.351057:0.929044:0.336158:0.755006:0.336158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te permiten resolver :@0.755006:0.366145:0.893162:0.366145:0.893162:0.351246:0.755006:0.351246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales con :@0.755006:0.381233:0.916399:0.381233:0.916399:0.366334:0.755006:0.366334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos incógnitas, :@0.755006:0.396320:0.858702:0.396320:0.858702:0.381421:0.755006:0.381421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculando su tabla de :@0.755006:0.411408:0.908408:0.411408:0.908408:0.396509:0.755006:0.396509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores y mostrando la :@0.755006:0.426495:0.908592:0.426495:0.908592:0.411596:0.755006:0.411596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de la ecuación.:@0.755006:0.441583:0.902779:0.441583:0.902779:0.426684:0.755006:0.426684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y resume: ¿cómo se :@0.755006:0.538306:0.927806:0.538306:0.927806:0.524312:0.755006:0.524312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelven las ecuaciones :@0.755006:0.553393:0.912227:0.553393:0.912227:0.539400:0.755006:0.539400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales con dos incógnitas :@0.755006:0.568481:0.927822:0.568481:0.927822:0.554487:0.755006:0.554487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una calculadora que :@0.755006:0.583569:0.907937:0.583569:0.907937:0.569575:0.755006:0.569575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realiza esta operación?:@0.755006:0.598656:0.899377:0.598656:0.899377:0.584663:0.755006:0.584663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806778:0.303528:0.857248:0.303528:0.857248:0.286627:0.806778:0.286627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.942184:0.504833:0.942184:0.499726:0.930102:0.499726:0.930102:0.504833:0.000000
Shutterstock:@0.942184:0.499726:0.942184:0.462007:0.930273:0.462007:0.930273:0.499726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando trabajes en :@0.754586:0.753143:0.888169:0.753143:0.888169:0.738244:0.754586:0.738244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grupo, toma la iniciativa:@0.754586:0.768231:0.914069:0.768231:0.914069:0.753332:0.754586:0.753332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y manifiesta tus puntos :@0.754586:0.783319:0.913161:0.783319:0.913161:0.768420:0.754586:0.768420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de vista en la resolución :@0.754586:0.798406:0.917886:0.798406:0.917886:0.783507:0.754586:0.783507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de problemas para llegar :@0.754586:0.813494:0.924204:0.813494:0.924204:0.798595:0.754586:0.798595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a soluciones efectivas.:@0.754586:0.828581:0.901250:0.828581:0.901250:0.813682:0.754586:0.813682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tan fácil o difícil :@0.754586:0.847227:0.892322:0.847227:0.892322:0.833233:0.754586:0.833233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el trabajo grupal?:@0.754586:0.862315:0.881266:0.862315:0.881266:0.848321:0.754586:0.848321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
         Socioemocional:@0.752589:0.720701:0.905856:0.720701:0.905856:0.703801:0.752589:0.703801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000