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 and cotters were at open slate night. the moores paid $6.00 more for skate rentals than the cotters did. together, the two families paid $30 for skate. how many pairs of skates did the moores rent?

Step-by-step explanation:

The problem doesn't specifies which family has membership card, and which one doesn't.

According to the problem, The Moore's paid $6.00 more than the Cotter's. Both families paid $30. So, with this relations we can solve the problem.

The difference between families is represented by:

And the total amount of money is:

Replacing the first equation in the second one:

Replacing this value in the second equation, we have:

According to these results, the Moore's rented 18 pair of skates, and the Cotter's 12 pairs.

If Skate rental are $3.00, then:

The Moore spent 3(18)=$54.

The Cotters spent 3(12)=$36.