Q13. - Algebra 1

Question

Use the percent proportion to find the following number.

50% of what number is 80%?

Step-by-Step Solution

Answer

50% of 160 is 80.

Step 1. Definition of percent:

Percent of a number is defined as the ratio of number and 100.

Step 2. Formula Used.

The ratio of part x of some number y is equal to the percent is written as.

$\frac{x}{y}=\frac{p}{100}$

Step 3. Find the percent proportion.

Percent = 50, x = 80 and y =?

$$\begin{gathered} \frac{x}{y} =\frac{p}{100} \\ \frac{80}{y}=\frac{50}{100} \left[\mathrm{crossmultiply}\right] \\ 80\times 100=50\times y \\ 8000=50y \left[\mathrm{dividebothsideby}50\right] \\ \frac{8000}{50}=\frac{50y}{50} \\ 160=y \\ y=160 \end{gathered}$$

Hence, 50% of 160 is 80.