Chapter 0.6, Problem 11E

To determine

To calculate: The number such that 40 percentage of that number is 16.

Answer to Problem 11E

The value of thenumber such that 40 percentage of that number is 16is $40$ .

Explanation of Solution

Given information:

125 of a number is 25.

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 40 is 16.

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

Simplify the term,

  $\begin{array}{c}x\%\times 40=16\\ \frac{x}{100}\times 40=16\\ \frac{x}{100}=\frac{16}{40}\end{array}$

Cross multiply the terms,

  $\begin{array}{c}\frac{x}{100}=\frac{16}{40}\\ x=\frac{100\times 16}{40}\\ x=40\end{array}$

Therefore, $40\%$ of 40 is 16.

Thus, the value of thenumber such that 40 percentage of that number is 16is $40$ .