Question 1158599: Sadie brought $40.50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was
1
6
as much as the souvenir, and the souvenir cost
3
4
the cost of the pass. Sadie had $3.00 left over after buying these items.
What was the cost of each item?
Answer by mananth(16946)   (Show Source):
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Sadie brought $40.50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was
1/6
as much as the souvenir, and the souvenir cost
3/4
the cost of the pass. Sadie had $3.00 left over after buying these items.
What was the cost of each item?
Let pass cost $P
the souvenir, and the souvenir cost
S= (3/4) P
The burger was 1/6 as much as the souvenir,
B =(1/6)(3/4)P=(1/8)P
40.5-3.00 = 37.50
P+S+B=37.5
P+(3/4)P +(1/8)P= 37.5
(15/8) p = 37.50
simplify
P=20
S=(3/4)P = (3/4)*20 = 15
B = (1/8) P = (1/8)*20=2.50
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