Question 114672
A truck rental agency charges a daily fee plus a mileage fee. Julie was charged $85 for two days and 100 miles and Christina was charged $165 for three days and 400 miles. What is the agency's daily fee and what is the mileage fee?
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Let daily fee = "d"
Let milage fee = "m"
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EQUATION:
2d+100m = 85
3d+400m = 165
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Multiply thru the 1st equation by 4 to get:
8d + 400m = 340
3d + 400m = 165
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Subtract 2nd from 1st to get:
5d = 175
d = $35 (daily fee)
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Substitute into 2d+100m = 85 to solve for "m":
70 + 100m = 85
100m = 15
m = 0.15 (milage fee)
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Cheers,
Stan H.