SOLUTION: Julio has found that his new car gets 36 miles per gallon on the highway, and 31 miles per gallon in the city. He recently drove 397 miles on 12 gallons of gas. How many highway mi

Algebra.Com
Question 390074: Julio has found that his new car gets 36 miles per gallon on the highway, and 31 miles per gallon in the city. He recently drove 397 miles on 12 gallons of gas. How many highway miles did he drive? How many city miles did he drive?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Julio has found that his new car gets 36 miles per gallon on the highway, and 31 miles per gallon in the city. He recently drove 397 miles on 12 gallons of gas. How many highway miles did he drive? How many city miles did he drive?
-----------------------
Equation:
distance + distance = distance
36x + 31(12-x) = 397
---
36x + 31*12 - 31x = 397
5x = 25
x = 5 gallons (amt. used in highway driving)
5*36 = 180 miles of highway driving
-----------------------------------------
12-x = 7 gallons (amt. used in city driving)
31*7 = 217 miles of city driving
=============
Cheers,
Stan H.

RELATED QUESTIONS

Please let me know step by step - thanks! Julio has found that his new car gets 36... (answered by mananth)
Julio has found that his new car gets 36 miles per gallon on the highway and 31 miles... (answered by josmiceli)
Julio has found that his new car gets 36 miles per gallon on the highway and 31 miles per (answered by josgarithmetic)
Julio has found that his new car gets 36 miles per gallon on the highway, and 31 miles... (answered by solver91311)
Solve using the system of Linear Equations Pierre has found that his new car gets 33... (answered by josgarithmetic)
Samuel has found that his new car gets 37 miles per gallon on the highway and 30 miles... (answered by Theo)
Samuel has found that his new car gets 37 miles per gallon on the highway and 30 miles... (answered by CubeyThePenguin)
John has found that his new car gets 33 miles per gallon on the highway and 28miles per... (answered by josgarithmetic)
Jim's car gets 26 miles per gallon on the highway and 18 miles per gallon in city... (answered by josgarithmetic)