Q12. - Algebra 1

Question

Use the percent proportion to find the following number.

14 is 20% of what number?

Step-by-Step Solution

Answer

14 is 20% of 70.

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 = 20, x = 14 and y = ?

$$\begin{gathered} \frac{x}{y} =\frac{p}{100} \\ \frac{14}{y}=\frac{20}{100} \left[\mathrm{crossmultiply}\right] \\ 14\times 100=20\times y \\ 1400=20y \left[\mathrm{dividebothsideby}20\right] \\ \frac{1400}{20}=\frac{20y}{20} \\ 70=y \\ y=70 \end{gathered}$$

Hence, 20% of 70 is 14.