¿leche + agua = agua + leche ?

Mezclar elementos parece una cosa sencilla, sin embargo no lo es tanto. Trata de encontrar una respuesta al problema siguiente y verás que todo tiene su inconveniente pero finalmente puede ser bien resuelto….

Supongamos tener en un vaso cierta cantidad de agua, y en otro una cantidad igual de leche de muy buena calidad, pura y sin aguar.
Tomamos una cuchara con leche del primer vaso, lo echamos en el segundo y agitamos.
Luego tomamos del segundo vaso una cucharada igual de la mezcla y la ponemos en el vaso con leche.
¿Habrá más agua en la leche que leche en el agua, o más leche en el agua que agua en la leche?


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Imagen de Oscar Isnardi

Geeme está perfectos pero si

Geeme está perfectos pero si trabajaras con fracciones en lugar de porcentajes todo se podría resumir a uno o dos renglores. Pero esto es menor, lo importante es analizar situaciones y lograr un resultado, que es "la resolución correcta de todas las resoluciones". Te pido que analices el caso particular paa ver si el problema es el mismo.

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Disculpe que use este espacio

Disculpe que use este espacio para poner a su consideración incorporar el juego "SUDOKU" e intentar encontrar un metodo numérico para resolverlo.- La sección contactanos parece no indicar una dirección válida.- Saludos y aguardo su comentario.-

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Tomo mis vasos originales de

Tomo mis vasos originales de agua (A) y leche (L) de 100 cm^3 y quito del que contiene L mi cucharada (que para realizar mi cálculo tiene 5 cm^3)
Por lo tanto me quedan:
1 vaso con L con 95 cm^3 de L
1 vaso con 100 cm^3 de A con más los 5 cm^3 de L ; volúmen total de la mezcla A-L = 105 cm^3
para el vaso con la mezcla A-L , a la que llamo M1 calculo la proporción de cada elemento ( A y L %).-
Tengo entonces
Proporción de
A : (100/105)x100 = 95,2381 % A
L : (5/105)x100 = 4,7619 % L
luego quito el volúmen de 5 cm^3 de la mezcla M1 y lo vierto en el vaso de 95 cm^3 de L (pura)
Mi vaso de mezcla M1 queda con la siguiente composición:
Volúmen 100 cm^3
% A = 95,2381 %
% L = 4,7619 %
Trabajo sobre el vaso al que le vertí los 5 cm^3 de M1 y obtengo una mezcla a la que denomino M2 y cuya composición porcentual es la siguiente:
En leche (L) : 95 cm^3 + 5 cm^3 x (4,7619/100) = 95,2381 cm^3 L
En agua (A) : 5 cm^3 x (95,2381/100) = 4,7619 cm^3 A
Por lo tanto mi mezcla M2 tiene un volúmen de 100 cm^3 y la siguiente proproción de componentes:
L% = 95,2381 %
A%= 4,7619 %
Comparo [1] y [2] y observo que son inversamente proporcionales, por lo tanto hay tanta leche en el agua como agua en la leche.
Como caso particular puede observarse idéntica proporción si vuelco todo mi vaso de leche pura en el agua y luego de obtener la mezcla vierto idéntico volúmen en el vaso vacio que contenía leche, así la mezcla M1 y M2 tendrá idéntica proporción (50% L y 50% A).

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¿leche + agua = agua + leche ? | Matemática, un juego de niños

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Imagen de Oscar Isnardi

rectifico el comentario

rectifico el comentario anterior:debe decir 100 de agua en la de agua y 100 de leche en la de leche.........

Imagen de Oscar Isnardi

Podríamos imaginar que en

Podríamos imaginar que en cada botella hemos colocado tan sólo 100 cucharas al ras delproducto que ella deba contener, 100deagua en la de agua y 1200de leche en la de leche. ¿ahora si comenzamos el travasamiento tal vez nos resulte más sencilla la respuesta, verdad?

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