Chapter 2.7, Problem 23P

Solve each proportion using any method.

$\frac{10}{4}=\frac{z-8}{16}$

To determine

To solve: $\frac{10}{4}=\frac{z-8}{16}$

Answer to Problem 23P

The solution is $z=48$

Explanation of Solution

Given information: $\frac{10}{4}=\frac{z-8}{16}$

Calculation:

  $\begin{array}{l}\frac{10}{4}=\frac{z-8}{16}\\ \Rightarrow 10\times 16=(z-8)\times 4\\ \Rightarrow (z-8)\times 4=10\times 16\\ \Rightarrow (z\times 4)-(8\times 4)=160\\ \Rightarrow 4z-32=160\end{array}$

  $\begin{array}{l}\Rightarrow 4z=160-(-32)\\ \Rightarrow 4z=160+32\\ \Rightarrow 4z=192\\ \Rightarrow z=\frac{192}{4}\\ \Rightarrow z=48\end{array}$

Thus, the solution is $z=48$