Question 67489: I bought two books for a total cost of $40. If the first book's price were raised 5% and the second's lowered 5%, the prices would be equal. What was the original price, in dollas, of the cheaper book?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I bought two books for a total cost of $40. If the first book's price were raised 5% and the second's lowered 5%, the prices would be equal. What was the original price, in dollas, of the cheaper book?
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Let the prices of the two books be x and y.
EQUATIONS:
1st: xy=40
2nd: (1.05x)=(0.95y)
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Solve the 1st for x and substitute into the 2nd to get:
1.05*(40/y) = 0.95y
42/y = 0.95y
0.95y^2=42
y^2=44.21
y=$6.65
Then x=40/6.65=$6.01
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Cheers,
Stan H.
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