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 gasoline. How many miles

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 gasoline. How many miles       Log On


   

Question 925110: 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 gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates, R*V=D for Fuel Efficiency Rate, Volume of Fuel, Distance.

Let h be gallons of fuel used for highway and c be gallons of fuel used in city for a trip.
______________________rate__________volume__________distance
HWAY__________________36_____________h______________36*h
CITY__________________31_____________c______________31*c
Total_______________________________12______________397

That is not the only way to form the variable assignments and data table;

but this give a system to solve for h and c
system%28h%2Bc=12%2C36h%2B31c=397%29