Question

At Handy Hardware Shop's annual spring-cleaning sale, every ratchet set in the shop gets marked down. Austin purchased 2 ratchet sets during the sale: one for himself and one to give to his dad on Father's Day. Each ratchet set cost $8 less than its full price. He paid a total of $56. What is the cost of each ratchet set at full price?
$

Answer 1

Let the full price be x. Each sale price is x − 8, and 2 of them cost 2(x − 8) = 56.
So x − 8 = 28, and x = 36.

Each ratchet set's full price is $36.