Question

A midsize car with a 4- cylinder engine travels 34 miles on a gallon of gas. This is 10 miles more than a luxury car with an 8- cylinder engine travels on a gallon of gas. How many miles does a luxury car travel on a gallon of gas?

Short answer

The number of miles covered by a luxury car in a gallon of gas is$24\mathrm{miles}.$

Step-by-step solution

Step 1. Determine variables.

Let the number of miles covered by a luxury car in a gallon of gas is x.

Step 2. Use given information and determine the equation.

Distance covered by mid-size car ingallon of gas is$34\mathrm{miles}.$

A mid-size car travels $10\mathrm{miles}.$more than a luxury car in 1 gallon of gas.

$x+10=34$

Step 3. Solve for x.

$\begin{array}{l}x+10=34\\ x=34-10\\ x=24\end{array}$

Hence, the miles covered by luxury car in a gallon of gas$24\mathrm{miles}.$