Chapter 6.3, Problem 23E

To determine

To evaluate: the proportion $\frac{35}{z}=\frac{7}{5}$ .

Answer to Problem 23E

The answer of the proportion $\frac{35}{z}=\frac{7}{5}$ is $z=25$ .

Explanation of Solution

Given information: The provided proportion is $\frac{35}{z}=\frac{7}{5}$ .

Calculation :

The method used here to solve the proportion is cross products property. The product of the numerator of one ratio and of the denominator of the other is known as a cross product.

  $\begin{array}{l}\frac{35}{z}=\frac{7}{5}\text{ [Write the proportion}\text{.]}\\ 35\times 5=z\times 7\text{}\text{}\text{ [Apply cross products property}\text{.]}\\ 175=7z\text{ [Multiply}\text{.]}\\ \frac{175}{7}=\frac{7z}{7}\text{ [Divide each side by 7 to place the variable on one side of the equation}.]\\ z=25\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{35}{z}=\frac{7}{5}$ is $z=25$ .