Chapter 0.6, Problem 22E

To determine

To calculate: The number such that number percent of 12 is 15.

Answer to Problem 22E

The value of thenumber such that number percent of 12 is 15is $125$ .

Explanation of Solution

Given information:

Some percent of 12 is 15.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

Let x percent of 12 is 15.

Recall that percent proportion is ratio of amount and base is same as percent to 100.

Simplify the term,

  $\begin{array}{c}x\%\times 12=15\\ \frac{x}{100}\times 12=15\\ \frac{x}{100}=\frac{15}{12}\end{array}$

Cross multiply the terms,

  $\begin{array}{c}\frac{x}{100}=\frac{15}{12}\\ x=\frac{100\times 15}{12}\\ x=125\end{array}$

Therefore, $125\%$ of $12$ is 15.

Thus, the value of thenumber such that number percent of 12 is 15 is $125$ .