Question

Two families are going ice skating over their Christmas break. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 on skate rentals for 3 kids and 1 adult. How much does each skate rental cost for an adult?

Answer 1

kids= $3

Adults= $5

Explanation:

Given data

Let kids be x

and adults be y

First family

5x+2y= 25-----------------1

Second family

3x+y= 14-----------------2

Solve 1 and 2

5x+2y= 25 X 1

3x+y= 14 X 2

5x+2y= 25

-6x+2y= 28

-x= -3

x= 3

Put x= 3 in 1

5x+2y= 25

5(3)+2y= 25

15=2y= 25

2y= 25-15

2y= 10

divide both sides by 2

y= 10/2

y= 5

Hence kids= $3

Adults= $5