Chapter 7.4, Problem 13E

To determine

To calculate: the base whose $30\%$ is $10.5$ with the help of the percent equation.

Answer to Problem 13E

The base whose $30\%$ is $10.5$ is $35$ .

Explanation of Solution

Given information: Consider the question given to find out the base whose $30\%$ is $10.5$ with the help of the percent equation.

Formula used: $a=p\%·b$ where $a$ is a part of the base $b$ and $p\%$ is the percent.

Calculation:

To find out find out the base whose $30\%$ is $10.5$ with the help of the percent equation, follow the steps given below:

  $\begin{array}{l}a=p\%·b\text{ [Write percent equation}\text{.]}\\ 10.5=30\%·b\text{ [Substitute 10}\text{.5 for a and 30 for }p\%.]\\ 10.5=0.3·b\text{ [Write percent as a decimal}\text{.]}\\ 35=b\text{ [Divide each side by 0}\text{.3}\text{.]}\end{array}$

Hence, the base whose $30\%$ is $10.5$ is $35$ .