Chapter 6.3, Problem 40E

To determine

To find : The value of $x$ .

Answer to Problem 40E

The value of $x$ is $27$ .

Explanation of Solution

Given information:

Consider the expression $\frac{28}{16}=\frac{x-8}{20}$ .

Calculation :

consider the expression $\frac{28}{16}=\frac{x-8}{20}$ , where the value of $x$ is to be found.

Therefore,

  $\begin{array}{l}\frac{28}{16}=\frac{x-8}{20}\left[\text{Use cross product property}\right]\\ 28\times 20=16\left(x-8\right)\left[\text{Multiply}\right]\\ 560=16x-128\left[\text{Move the like terms at one side}\right]\\ 16x-128=560\\ 16x=560+128\\ 16x=432\\ x=\frac{432}{16}\left[\text{Divide}\right]\\ x=27\end{array}$

Therefore the value of $x$ is $27$ .