Chapter 6.3, Problem 39E

To determine

To find : The value of $x$ .

Answer to Problem 39E

The value of $x$ is $6$ .

Explanation of Solution

Given information:

Consider the expression $\frac{15-x}{45}=\frac{15}{75}$ .

Calculation :

consider the expression $\frac{15-x}{45}=\frac{15}{75}$ , where the value of $x$ is to be found.

Therefore,

  $\begin{array}{l}\frac{15-x}{45}=\frac{15}{75}\left[\text{Use cross multiplication property}\right]\\ 75\left(15-x\right)=15\times 45\\ 1125-75x=675\left[\text{Move the like terms at one side}\right]\\ -75x=675-1125\\ -75x=-450\\ -x=\frac{-450}{75}\left[\text{Divide}\right]\\ -x=-6\\ x=6\end{array}$

Therefore the value of $x$ is $6$ .