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Cálculo de la cosecha de tomates de Rosa

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Cálculo de la cosecha de tomates de Rosa

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About this activity

Aprende a resolver problemas de cantidades y relaciones.

Created by

Pamela Ayenla
Pamela Ayenla
Ecuador

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Cálculo de la cosecha de tomates de Rosa
 

Cálculo de la cosecha de tomates de RosaOnline version

Aprende a resolver problemas de cantidades y relaciones.

by Pamela Ayenla
1

Resolución del problema

Este ejercicio nos ayuda a entender cómo calcular la cantidad de tomates cosechados por Rosa, usando variables y ecuaciones.

2

Paso 1: Definir las variables

Asignamos una variable a la cantidad de tomates cosechados por Roberto, y expresamos las cosechas de Abigail y Rosa en función de esa variable:

  • Roberto = R
  • Abigail = 3R (el triple de Roberto)
  • Rosa = 2R (el doble de Roberto)
3

Paso 2: Plantear la ecuación

Sabemos que la suma de tomates de los tres es 60, por lo que escribimos:

3R + 2R + R = 60

4

Paso 3: Resolver la ecuación

Sumamos los términos:

6R = 60

Despejamos R:

R = 60 ÷ 6 = 10

Entonces, Roberto cosechó 10 tomates.

5

Paso 4: Calcular los tomates de Rosa

Usamos la relación Rosa = 2R:

Rosa = 2 × 10 = 20

Por lo tanto, Rosa cosechó 20 tomates.

6

Verificación

Sumamos las cosechas:

  • Roberto: 10 tomates
  • Rosa: 20 tomates
  • Abigail: 30 tomates (el triple de Roberto)

Total: 10 + 20 + 30 = 60 tomates, que coincide con el total dado.
 
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