Chapter 6.3, Problem 25E

To determine

To evaluate: the proportion $\frac{9}{105}=\frac{15}{y}$ .

Answer to Problem 25E

The answer of the proportion $\frac{9}{105}=\frac{15}{y}$ is $y=175$ .

Explanation of Solution

Given information: The provided proportion is $\frac{9}{105}=\frac{15}{y}$ .

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

  $\begin{array}{l}\frac{9}{105}=\frac{15}{y}\text{ [Write the proportion}\text{.]}\\ 9\times y=105\times 15\text{}\text{}\text{ [Apply cross products property}\text{.]}\\ 9y=1575\text{ [Multiply}\text{.]}\\ \frac{9y}{9}=\frac{1575}{9}\text{ [Divide each side by 9 to place the variable on one side of the equation}.]\\ y=175\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{9}{105}=\frac{15}{y}$ is $y=175$ .