Chapter 6.5, Problem 34PPS

To determine

To solve: the given proportion.

Answer to Problem 34PPS

The value of $x$ is $x=63$ .

Explanation of Solution

Given information:

The given proportion

  $\frac{x-18}{24}=\frac{15}{8}$

Calculation:

A proportion is an equation stating that the two ratios or rates are equal.

Simplify $\frac{x-18}{24}=\frac{15}{8}$ as follows:

  $\begin{array}{c}\left(x-18\right)\times 8=15\times 24\\ \left(x-18\right)-\left(18\times 8\right)=360\\ 8x-144=360\\ 8x-144+144=360+144\left[\text{Add 128}\text{on}\text{both}\text{sides}\right]\\ 8x=504\\ \frac{8x}{8}=\frac{504}{8}\left[\text{Divide}\text{each}\text{side}\text{by}8\right]\\ x=63\end{array}$

Hence, the value of $x$ is $x=63$ .