Question

The ticket for the skating night costs $ 3.75 for those with a membership card and $ 5.00 for those without a membership card. The rental price of skates is $ 3.00.
The Moore family paid $ 6 more than the Cotter family to rent their skates. In total, the two families paid $ 30 to rent their skates.

How many pairs of skates did the Moore family rent?

Answer 1

Price paid:
moores = cotters + 6

moores + cotters + 6 = 30
therefore:
moores + cotters = 24
[substitute moores = cotters + 6 into moores + cotters = 24]
cotters + 6 + cotters = 24
2 cotters = 18
cotters = 9

[substitute cotters = 9 into moores = cotters + 6]
moores = 9 + 6 = 15

on skate rentals alone:

15 / 3 = 5 pairs of skates