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aniked [119]
3 years ago
13

Joseph, después de hacer compras, piensa de la siguiente forma: "Gasté los 3/5 de lo que no gasté y aún me quedan S/. 60 más de

lo que gasté". ¿Cuántos soles tenía Joseph?
Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

Joseph tenía 240 soles

Step-by-step explanation:

Tenemos lo siguiente

Cantidad total = Cantidad gastada + Cantidad restante.

Sabemos que Cantidad gastada = 3/5 Cantidad restante y que Cantidad restante = Cantidad gastada + 60.

Sea x la cantidad gastada e y la cantidad restante. Tenemos las ecuaciones

x = \frac{3}{5}y, y = x+60

Reemplazando la segunda en la primera, tenemos que

x = \frac{3}{5}(x+60)= \frac{3}{5}x + 36 (aquí simplemente distribuímos la multiplicación.

Restando 3/5 x a ambos lados, tenemos que

x-\frac{3}{5}x = \frac{2}{5}x = 36

Multiplicando por 5 y dividiendo por dos ambos lados, tenemos que

x=\frac{5\cdot 36}{2} = 90

Es decir, Joseph gastó 90 soles. Entonces y = 90+60 = 150 soles.

Es decir, en total, Joseph tenía 150+90= 240 soles.

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