Chapter 7.2, Problem 27E

To determine

Tocalculate:The number whichis $40\%\text{ of 10}y$ .

Answer to Problem 27E

  $4y\text{ is 40\% percent of 10}y.$

Explanation of Solution

Given information:

The information given in the question:

  $40\%\text{ of 10}y$

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

  $40\%\text{ of 10}y$

Write the proportion

  $\frac{a}{b}=\frac{p}{100}$

Substitute $10y\text{ for }b\text{ and 40 for }p$ ,

  $\frac{a}{10y}=\frac{40}{100}$

Multiply each side by $10y$

  $10y\cdot \frac{a}{10y}=\frac{40}{100}\cdot 10y$

Simplify,

  $a\text{=4}y$ .

Hence,

  $4y\text{ is 40\% percent of 10}y$ .