SOLUTION: How many miles would someone who purchased a $45,000 car that gets 45 miles to the gallon have to drive to come out even with the individual who purchased a car for $35,000 which

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Question 1012351: How many miles would someone who purchased a $45,000 car that gets 45 miles to the gallon have to drive to come out even with the individual who purchased a car for $35,000 which gets 35 miles to the gallon? Assume that gas costs $2.50 per gallon.
Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
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How many miles would someone who purchased a $45,000 car that gets 45 miles to the gallon have to drive
to come out even with the individual who purchased a car for $35,000 which gets 35 miles to the gallon?
Assume that gas costs $2.50 per gallon.
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Mathematical model is this equation

45000+%2B+%282.5%2F45%29%2Am = 35000+%2B+%282.5%2F35%29%2Am.

where m is the unknown mileage.

Simplify:

45000+-+35000 = %28%282.5%2F35%29+-+%282.5%2F45%29%29%2Am,

10000 = 2.5%2Am . %2845-35%29%2F%2835%2A45%29,

1000 = 2.5%2Am . 1%2F%2835%2A45%29,

m = 1000%2F2.5*35*45 = 400*35*45 = 630,000 miles.

Answer. 630,000 miles.