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 mile

Algebra.Com
Question 672706: 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 josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
( miles/gallon ) x ( gallons used ) = miles driven
Let = gallons used on highway
Let = miles driven on highway
On highway:
(1)
In city:
(2)
---------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)

and
(1)
(1)


He drove 180 mi on the highway
he drove 217 mi in the city
-----------------------
check:
(2)
(2)
(2)
(2)
(2)
OK

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 per (answered by josgarithmetic)
Julio has found that his new car gets 36 miles per gallon on the highway, and 31 miles... (answered by stanbon)
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)