Chapter 7.2, Problem 28E

To determine

To calculate: The number which is $75\%\text{ of 8}y$ .

Answer to Problem 28E

  $6y\text{ is 75\% percent of 8}y.$

Explanation of Solution

Given information:

The information given in the question:

  $75\%\text{ of 8}y$

Concept used:

  $\begin{array}{l}\text{Represent }"a\text{ is }p\text{ percent of }b\text{" using the proportion}\\ \frac{a}{b}=\frac{p}{100}\\ \text{where }a\text{ is a part of the base }b\text{ and }p\text{\%,or }\frac{p}{100},\text{ is the percent}\text{.}\end{array}$

Calculation:

As per the problem

  $75\%\text{ of 8}y$

Write the proportion

  $\frac{a}{b}=\frac{p}{100}$

Substitute $\text{8}y\text{ for }b\text{ and 75 for }p$ ,

  $\frac{a}{\text{8}y}=\frac{75}{100}$

Multiply each side by $\text{8}y$

  $\text{8}y\cdot \frac{a}{\text{8}y}=\frac{75}{100}\cdot 8y$

Simplify,

  $\text{a=6}y$ .

Hence,

  $6y\text{ is 75\% percent of 8}y.$ .