Question

Ballio brought $29.00 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. Ballio had $4.00 left over after buying these items.

Answer 1

The cost of the pass, souvenir, and burger are $15, $7.5, and $2.5 respectively

• Let the cost of a pass be x

• If the souvenir was 1/2 as much as pass, then the cost of  the souvenir is 1/2 x

• If the cost of the burger was 1/3 as much as the souvenir, then the cost of the burger is 1/6 x

If Ballo brought $29.00 to the state fair and has $4.00 left, the total money spent is $25.00

Taking the sum of the products and equating to $25 will give

x + x /2 + x/6 = 25

10x/6 = 25

10x = 150

x = 15

Hence cost of a pass will be $15

Cost of a  souvenir = 15/2 = $7.5

Cost of a burger = 15/6  = $2.5

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