Question

A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for the same show. How much does a child’s ticket cost?

Answer 1

It's $7

Explanation:

7+7+7= 21 and add two $16 tickets and that's $53

Answer 2

The cost per child is $9

Explanation:

x + 3y = 40

2x + 3y = 53

x = 40 - 3y

2(40-3y) + 3y = 53

80 -6y + 3y = 53

80 - 3y = 53

-3y = 53 - 80

-3y = -27 (divide both sides by -3)

y = 9

This means that the cost per child is $9

Now solve for x

x = 40 - 3y

x = 40 - 3 (9)

x = 40 - 27

x = 13

Cost per parent is $13.