Chapter 6.3, Problem 10E

To determine

To evaluate: the proportions $\frac{1.6}{b}=\frac{8}{25}$ by cross products property.

Answer to Problem 10E

The answer of proportions $\frac{1.6}{b}=\frac{8}{25}$ is $b=5$ .

Explanation of Solution

Given information: The provided proportions are $\frac{1.6}{b}=\frac{8}{25}$ .

Calculation :

The product of the numerator of one ratio and of the denominator of the other is known as a cross product. Cross products can be used to determine whether the ratios form a proportion or not. If the cross products are equal, then the ratios form a proportion.

  $\begin{array}{l}\frac{1.6}{b}=\frac{8}{25}\text{ [Write proportion}\text{.]}\\ 1.6\times 25=b\times 8\text{ [Cross products property}\text{.]}\\ 40=8b\text{ [Multiply}\text{.]}\\ \frac{40}{8}=\frac{8b}{8}\text{ [Divide each side by 8 to place the variable on one side of the equation}.]\\ b=5\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportions $\frac{1.6}{b}=\frac{8}{25}$ is $b=5$