Question

The Talbot family got 2 pizzas and 4 drinks for $32. The Martinez family got 3 pizzas and 8 drinks for $52. How much does each pizza and each drink cost?

Answer 1

Answer:

Each pizza costs $12.

Each drink costs $2.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of each pizza.

y is the cost of each drinks.

The Talbot family got 2 pizzas and 4 drinks for $32.

This means that $2x + 4y = 32$

The Martinez family got 3 pizzas and 8 drinks for $52.

This means that $3x + 8y = 52$

Using the addition method, multiplying the first equation by -2.

-4x - 8y = -64

3x + 8y = 52

-4x + 3x - 8y + 8y = -64 + 52

-x = -12

x = 12

Each pizza costs $12.

2x + 4y = 32

2x + 4y = 32

4y = 32 - 2x

4y = 32 - 2*12

4y = 8

y = 2

Each drink costs $2.