121:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000
M.3.1.48. Resolver y plantear problemas con la aplicación de la proporcionalidad directa o inversa, e interpretar la solución dentro del contexto del problema.:@0.105857:0.092104:0.867721:0.092104:0.867721:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Maya Ediciones, (2020).:@0.920656:0.259599:0.920656:0.190340:0.909267:0.190340:0.909267:0.259599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teresa utilizó 186 mullos para hacer 3 collares. Si tiene un pedido de 8 :@0.096834:0.133760:0.699357:0.133760:0.699357:0.116666:0.096834:0.116666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
collares, ¿cuántos mullos utilizará?:@0.096834:0.151866:0.368422:0.151866:0.368422:0.134771:0.096834:0.134771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Segundo método:@0.096834:0.175275:0.231575:0.175275:0.231575:0.158651:0.096834:0.158651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se invierte la tabla con las magnitudes correspondientes y se completan :@0.096834:0.200822:0.699293:0.200822:0.699293:0.183728:0.096834:0.183728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los datos.:@0.096834:0.218928:0.171313:0.218928:0.171313:0.201833:0.096834:0.201833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se analiza la relación de magnitudes.:@0.096834:0.327558:0.389990:0.327558:0.389990:0.310464:0.096834:0.310464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mientras más mullos, más collares se pueden elaborar. :@0.096834:0.352785:0.533822:0.352785:0.533822:0.335691:0.096834:0.335691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se multiplica en cruz y se plantea una ecuación.:@0.096834:0.378011:0.478441:0.378011:0.478441:0.360917:0.096834:0.360917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.114110:0.415313:0.125146:0.415313:0.125146:0.398324:0.114110:0.398324:0.000000
×:@0.142897:0.405566:0.153934:0.405566:0.153934:0.388578:0.142897:0.388578:0.000000
=:@0.189705:0.415313:0.200741:0.415313:0.200741:0.398324:0.189705:0.398324:0.000000
=:@0.252466:0.415313:0.263503:0.415313:0.263503:0.398324:0.252466:0.398324:0.000000
x:@0.101022:0.414574:0.109164:0.414574:0.109164:0.397781:0.101022:0.397781:0.000000
8 186:@0.130453:0.404827:0.184449:0.404827:0.184449:0.387733:0.130453:0.387733:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.152955:0.425969:0.162765:0.425969:0.162765:0.408874:0.152955:0.408874:0.000000
1 488:@0.204782:0.404830:0.247199:0.404830:0.247199:0.387735:0.204782:0.387735:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.222111:0.425969:0.231921:0.425969:0.231921:0.408874:0.222111:0.408874:0.000000
496:@0.268074:0.414574:0.297143:0.414574:0.297143:0.397479:0.268074:0.397479:0.000000:0.000000:0.000000
Para elaborar 8 collares, utilizará 496 mullos.:@0.096838:0.447766:0.444592:0.447766:0.444592:0.430672:0.096838:0.430672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096834:0.543598:0.173290:0.543598:0.173290:0.526974:0.096834:0.526974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una fábrica de chocolates llena dos cajas con 36 chocolates. ¿Cuántos :@0.096834:0.569145:0.699633:0.569145:0.699633:0.552051:0.096834:0.552051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
chocolates tendrá que producir para llenar 112 cajas? :@0.096834:0.587250:0.526511:0.587250:0.526511:0.570156:0.096834:0.570156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096834:0.620129:0.163561:0.620129:0.163561:0.603504:0.096834:0.603504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.114110:0.749930:0.125146:0.749930:0.125146:0.732941:0.114110:0.732941:0.000000
×:@0.160487:0.740183:0.171524:0.740183:0.171524:0.723195:0.160487:0.723195:0.000000
=:@0.198919:0.749930:0.209955:0.749930:0.209955:0.732941:0.198919:0.732941:0.000000
=:@0.266304:0.749930:0.277340:0.749930:0.277340:0.732941:0.266304:0.732941:0.000000
x:@0.101022:0.749190:0.109164:0.749190:0.109164:0.732398:0.101022:0.732398:0.000000
112 36:@0.129186:0.739444:0.193656:0.739444:0.193656:0.722350:0.129186:0.722350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.157353:0.760585:0.167163:0.760585:0.167163:0.743491:0.157353:0.743491:0.000000
4 032:@0.216090:0.739446:0.261442:0.739446:0.261442:0.722352:0.216090:0.722352:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.233419:0.760585:0.243229:0.760585:0.243229:0.743491:0.233419:0.743491:0.000000
2 016:@0.281057:0.749190:0.325565:0.749190:0.325565:0.732096:0.281057:0.732096:0.000000:0.000000:0.000000:0.000000:0.000000
Para llenar 112 cajas, es necesario producir 2 016 chocolates.:@0.096835:0.782383:0.577587:0.782383:0.577587:0.765289:0.096835:0.765289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N.° de collares:@0.154408:0.257901:0.271626:0.257901:0.271626:0.239766:0.154408:0.239766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N.° de mullos:@0.356783:0.257901:0.466826:0.257901:0.466826:0.239766:0.356783:0.239766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.208123:0.279280:0.217933:0.279280:0.217933:0.262186:0.208123:0.262186:0.000000
186:@0.397090:0.279280:0.426520:0.279280:0.426520:0.262186:0.397090:0.262186:0.000000:0.000000:0.000000
8:@0.208123:0.300660:0.217933:0.300660:0.217933:0.283565:0.208123:0.283565:0.000000
x:@0.407503:0.300660:0.416127:0.300660:0.416127:0.283565:0.407503:0.283565:0.000000
N.° de cajas:@0.163171:0.659486:0.258117:0.659486:0.258117:0.641350:0.163171:0.641350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N.° de chocolates:@0.337543:0.659486:0.481297:0.659486:0.481297:0.641350:0.337543:0.641350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.205729:0.680865:0.215539:0.680865:0.215539:0.663771:0.205729:0.663771:0.000000
36:@0.399601:0.680865:0.419221:0.680865:0.419221:0.663771:0.399601:0.663771:0.000000:0.000000
112:@0.195918:0.702244:0.225349:0.702244:0.225349:0.685150:0.195918:0.685150:0.000000:0.000000:0.000000
x:@0.405109:0.702244:0.413733:0.702244:0.413733:0.685150:0.405109:0.685150:0.000000
Alicia Narváez, (2020).:@0.913841:0.693545:0.913841:0.628714:0.902452:0.628714:0.902452:0.693545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.732856:0.392137:0.784001:0.392137:0.784001:0.377024:0.732856:0.377024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.784001:0.392137:0.867728:0.392137:0.867728:0.377892:0.784001:0.377892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace y :@0.732856:0.407225:0.791423:0.407225:0.791423:0.392979:0.732856:0.392979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afianza:@0.791423:0.407225:0.840876:0.407225:0.840876:0.392112:0.791423:0.392112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tus :@0.840876:0.407225:0.868534:0.407225:0.868534:0.392979:0.840876:0.392979:0.000000:0.000000:0.000000:0.000000:0.000000
conocimientos  de regla :@0.732856:0.422312:0.897732:0.422312:0.897732:0.408067:0.732856:0.408067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tres simple directa::@0.732856:0.437400:0.878649:0.437400:0.878649:0.423155:0.732856:0.423155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/7m15:@0.732856:0.452488:0.822766:0.452488:0.822766:0.437362:0.732856:0.437362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.780460:0.354993:0.881570:0.354993:0.881570:0.338216:0.780460:0.338216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digital:@0.780460:0.368823:0.828206:0.368823:0.828206:0.352047:0.780460:0.352047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000