Chapter 0.6, Problem 13E

To determine

To calculate: The number such that 50 percent of that number is 80.

Answer to Problem 13E

The value of thenumber such that 50 percent of that number is 80 is $160$ .

Explanation of Solution

Given information:

  $50\%$ of a number is 80.

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 50 percent of xis 80.

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

Simplify the term,

  $\begin{array}{c}50\%\times x=80\\ \frac{50}{100}\times x=80\\ \frac{x}{100}=\frac{80}{50}\end{array}$

Cross multiply the terms,

  $\begin{array}{c}\frac{x}{100}=\frac{80}{50}\\ x=\frac{100\times 80}{50}\\ x=160\end{array}$

Therefore, 80 is $50\%$ of 160.

Thus, the value of thenumber such that 50 percent of that number is 80 is $160$ .