Chapter 6.3, Problem 29E

To determine

To evaluate: the proportion $\frac{26}{p}=\frac{13}{0.4}$ .

Answer to Problem 29E

The answer of the proportion $\frac{26}{p}=\frac{13}{0.4}$ is $m=0.8$ .

Explanation of Solution

Given information: The provided proportion is $\frac{26}{p}=\frac{13}{0.4}$ .

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.

  $\begin{array}{l}\frac{26}{p}=\frac{13}{0.4}\text{ [Write the proportion}\text{.]}\\ 26\times 0.4=p\times 13\text{}\text{}\text{ [Apply cross products property}\text{.]}\\ 10.4=13p\text{ [Multiply}\text{.]}\\ \frac{10.4}{13}=\frac{13p}{13}\text{ [Divide each side by 13 to place the variable on one side of the equation}.]\\ m=0.8\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{26}{p}=\frac{13}{0.4}$ is $m=0.8$ .