At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.

8 skates

Step-by-step explanation:

Given that:

Skate rental = $3

Let number of skates rented by cotters = x

Hence, amount paid by cotters = 3x

The Moores paid $6 more

Moores amount = 3x + 6

Combined amount paid = 42

3x + 3x + 6 = 42

6x + 6 = 42

6x = 42 - 6

6x = 36

x = 36 / 6

x = 6

Hence, amount spent by the Moore's:

3x + 6

3(6) + 6 = 18 + 6 = $24

Cost per skate rental = $3

Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates