Question

Corey brought $26.50 to the state fair. he bought a burger, a souvenir, and a pass. the burger was 1 3 as much as the souvenir, and the souvenir cost 1 2 the cost of the pass. corey had $1.50 left over after buying these items.

Answer 1

$26.50 - $1.50 = $25.00

Let b = cost of burger

s = cost of souvenir

p = cost of pass

b + s + p = $25.00

b = (1/3)s

s = (1/2)p---->p = 2s

(1/3)s + s + 2s = $25.00

(10/3)s = $25.00

s = (3/10)($25.00) = $7.50

b = (1/3)($7.50) = $2.50

p = 2($7.50) = $15.00

The burger costs $2.50, the souvenir costs $7.50, and the pass costs $15.00.