Solve the problem.
-Carole's car averages $15.5 \mathrm { mi } / \mathrm { gal }$ in city driving and $25.8 \mathrm { mi } / \mathrm { gal }$ in highway driving. If she drove a total of $593.6 \mathrm { mi }$ on $27 \mathrm { gal }$ of gas, how many of the gallons were used for city driving?
A) $10 \mathrm { gal }$
B) $22 \mathrm { gal }$
C) 12 gal
D) $17 \mathrm { gal }$

Question

Quizplus · Accepted Answer

Let $x$ be the number of gallons used for city driving. Then, the number of gallons used for highway driving is $27-x$.The total distance driven is:$$15.5x+25.8(27-x)=593.6$$Simplifying and solving for $x$:$$15.5x+699.6-25.8x=593.6$$$$-10.3x=-106$$$$x=10$$Therefore, 10 gallons were used for city driving.

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