Q62. - Algebra 1

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?

Step-by-Step Solution

Answer

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

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 in gallon 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 $24 \mathrm{miles}.$