SOLUTION: mike rented a car for five days and drove 300 miles. he was charged $300.00. tim rented the same car for six days and drove 220 miles. he was charged $325.00. what does the company
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Question 503566: mike rented a car for five days and drove 300 miles. he was charged $300.00. tim rented the same car for six days and drove 220 miles. he was charged $325.00. what does the company charge per day and per mile. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! d = charge per day in dollars
m = charge per mile in dollars
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5d + 300m = 300
6d + 220m = 325
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multiply the first equation by 6 and the second by 5, then subtract
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30d + 1800m = 1800
30d + 1100m = 1625
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700m = 175
m = 175/700
m = 1/4 of $1 per mile
m = 25 cents per mile
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substitute into first equation to find d.
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5d + 300(1/4) = 300
5d + 75 = 300
5d = 225
d = 45
d = $45 dollars per day
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Always check your work.
in this case, use the 2nd equation.
6d + 220m = 325
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6d = 6(45) = 270
220m = 220*1/4 = 55
270+55 = 325
Correct.
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Answer: The car rental company charge $45 per day plus $0.25 (25 cents) per mile.
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Note that is is important to keep the units of measurement the same.
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Done.
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