SOLUTION: Sid's car gets 34 miles per gallon on the highway and 26 miles per gallon in the city. If Sid drivesa total of 414 miles on 13 gallons of gas how many miles did the car drive in th

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Sid's car gets 34 miles per gallon on the highway and 26 miles per gallon in the city. If Sid drivesa total of 414 miles on 13 gallons of gas how many miles did the car drive in th      Log On

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Question 694274: Sid's car gets 34 miles per gallon on the highway and 26 miles per gallon in the city. If Sid drivesa total of 414 miles on 13 gallons of gas how many miles did the car drive in the city and how many miles did the car drive on the highway?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let h be the gallons used on highway. Let c be gallons used on city driving.
You are told
h+%2B+c+=+13 --> c+=+13+-+h
34h+%2B+26c+=+414
34h+%2B+26%2813-h%29+=+414
34h+%2B+338+-+26h+=+414
8h+=+76
h+=+9.5
c+=+13+-+9.5+=+3.5
Use these values to calculate the miles driven for each type
cityMiles+=+26%2Ac
HighwayMiles+=+34%2Ah
you can do the rest