Question

The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?

Answer 1

First we write the variables:
x: cost of the ticket for adults.
y: cost of ticket for children.
We write the system of equations:
2x + 3y = 31
2x + 2y = 26
We solve the system:
Step 1:
2x + 3y = 31
-2x-2y = -26
Step 2:
y = 5
Step 3:
2x + 3y = 31
2x = -3y + 31
x = (- 3y + 31) / 2
x = (- 3 * (5) +31) / 2
x = 8
Answer:
the prices for an adult and child movie ticket are:
adults = $ 8
children = 5 $