Chapter 2.2, Problem 5STP

Solve each exercise and enter your answer on the grid provided:

The cost of a gallon of gasoline $g$ is $3.25 less than 2 times the cost of a gallon of diesel $d$.

If a gallon of gasoline costs $3.95, what is the cost of a gallon of diesel?

To determine

To find:The cost of a gallon of diesel.

Answer to Problem 5STP

The cost of a gallon of diesel is $3.60.

Explanation of Solution

Given information:The cost of a gallon of gasoline g is $3.25 less than 2 times the cost of a gallon of diesel d . A gallon of gasoline costs $3.95. Calculation:The equation for the cost of a gallon of gasoline and diesel is,

  $\begin{array}{l}g=2d-3.25\\ \Rightarrow 3.95=2d-3.25\\ \Rightarrow 2d=3.95+3.25\\ \Rightarrow 2d=7.20\\ \Rightarrow d=\frac{7.20}{2}\\ \Rightarrow d=3.60\end{array}$

Thus, the cost of a gallon of diesel is $3.60.