Carmen y carlos hacen pizzas para vender. la materia prima necesaria para hacer una pizza grande les cuesta $5.00 y para una pizza pequeña $3.00. si disponen de $570.00 y quieren hacer 150 pizzas, ¿cuántas pizzas de cada tamaño podrán hacer?

A large pizza costs $5 and a small pizza costs $3.

Let 'x' be the number of large pizzas and 'y' the number of small pizzas. We have that:

x + y = 150

5x + 3y = 570

Solving the system of equations:

x + y = 150 → 3x + 3y = 450 → 3y = 450 - 3x

5x + 3y = 570 → 5x + 450 - 3x = 570

2x = 120

x = 60

y = 150 - 60 = 90

Therefore. Carmen y Carlos will make 60 large pizzas and 90 small pizzas.

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