SOLUTION: A salesman rents a car for two trips from the same rental company. The rental company charges a daily fee plus a charge for each mike driven. First trip, 2 days, 275 miles, co

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Question 923427: A salesman rents a car for two trips from the same rental company. The rental company charges a daily fee plus a charge for each mike driven.
First trip, 2 days, 275 miles, cost $140.75
Second trip, 1 day, 95 miles, cost $59.75
How much did the rental company charge per day and per mile?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A salesman rents a car for two trips from the same rental company. The rental company charges a daily fee plus a charge for each mile driven.
First trip, 2 days, 275 miles, cost $140.75
Second trip, 1 day, 95 miles, cost $59.75
How much did the rental company charge per day and per mile?
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2d + 275m = 140.75
d + 95m = 59.75
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Modify::
2d + 275m = 140.75
2d = 190m = 119.50
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Subtract and solve for "m":
85m = 21.25
m = 25 cents (the per-mile rate)
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Solve for "d"::
d + 95m = 59.75
d + 95*0.25 = 49.75
d = $49.51 (daily rate)
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Cheers,
Stan H.
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