Solve the problem.
-Corey has found that his new car gets 34 miles per gallon on the highway and 29 miles per gallon in the city. He recently drove 286 miles on 9 gallons of gasoline. How many miles did he drive on the highway? How many
Miles did he drive in the city?
A)145 miles on the highway, 141 miles in the city
B)170 miles on the highway, 116 miles in the city
C)155 miles on the highway, 131 miles in the city
D)160 miles on the highway, 126 miles in the city

Question

Quizplus · Accepted Answer

Let the miles driven on the highway be $h$ and the miles driven in the city be $c$. We have two equations based on the given information: $h + c = 286$ (total miles driven) and $\frac{h}{34} + \frac{c}{29} = 9$ (total gallons used). Solving these equations simultaneously, we find that $h = 170$ miles and $c = 116$ miles.

Solve the Problem. -Corey Has Found That His New Car Gets 34 Miles