SOLUTION: A car gets 28 mpg on highway, 22 mpg in city...total trip is 627 miles using 24 gallons of gas how many miles were driven in city?

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Question 10885: A car gets 28 mpg on highway, 22 mpg in city...total trip is 627 miles using 24 gallons of gas
how many miles were driven in city?

Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = Number of miles driven in the city
627 - x = Number of miles driven on highway

The basic formula here is +%28Miles%29%2F%28MilesPerGallon%29+=+Gallons
Gallons in city + gallons on highway = Total gallons
+x%2F22+%2B+%28627-x%29%2F28+=+24

Multiply both sides of the equation by the product of the two denominators: 22%2A28
%2822%2A28%29%2A+%28x%2F22%29+%2B+%2822%2A28%29%2A%28627-x%29%2F28+=+22%2A28%2A24
28x+%2B+22%28627-x%29+=+14784
28x+%2B+13794-22x=+14784
6x+=+14784-13794+=+990
x+=+990%2F6+=165 Miles in city
627+-+165+=+462 Miles on highway

Total gas used:
165%2F22+%2B+462%2F28+ gallons
7.5+%2B+16.5+ gallons
24 gallons total

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