Question

Tim brought $40.50 to the state fair. He bought a burger, a souvenir, and a pass. The burger was

1
4
as much as the souvenir, and the souvenir cost
2
3
the cost of the pass. Tim had $2.00 left over after buying these items.
What was the cost of each item?

Answer 1

Let x be the cost of the pass.

Then the cost of the souvenir is (2/3)x.

The cost of the burger is (1/4) of the cost of the souvenir, which is (1/4)(2/3)x = (1/6)x.

The total cost of the items is x + (2/3)x + (1/6)x = (11/6)x.

Tim had $2.00 left over after buying these items, so we can set up the equation:

(11/6)x + 2 = 40.50

Solving for x, we get:

x = 18

Therefore, the cost of the pass is $18, the cost of the souvenir is (2/3)($18) = $12, and the cost of the burger is (1/6)($18) = $3.