Question

Two families go ice skating one day. 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 child’s skate rental (x) and each adults skate rental (y) cost?

Answer 1

Explanation:

Let’s take kids as x and adults as y

According to the question,

5x + 2y = 25 (1)
3x + 1y = 14 (2)

Let’s multiply (2) with 2 so take we can solve the equations

5x + 2y = 25
6x + 2y = 28
(-) (-) (-)
___________
-1x = = -3
x = 3

Substituting to get y

3x + 1y = 14
3(3) + y = 14
y = 14-9
y = 5

Answer:

Therefore, each child’s skate rental (x) costs $3 and each adults’s skate rental (y) costs $5


Hope it helped! :)