Danny brought $43.00 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. Danny had $4.50 left over after buying these items. What was the cost of each item?

Cost each item is : Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .

Step-by-step explanation:

Here we have , Danny brought $43.00 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. Danny had $4.50 left over after buying these items. We need to find What was the cost of each item . Let's find out:

Let value of pass is x ! So , the souvenir cost 2/3 the cost of the pass i.e.

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Now , The burger was 1/4 as much as the souvenir i.e.

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Total Cost = $43 , According to question we have following conditions :

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Therefore , Cost each item is : Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .