Q16. - Algebra 1

Question

Use the percent proportion to find the following number.

What percent of 48 is 30?

Step-by-Step Solution

Answer

62.5% of 48 is 30.

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.

x = 30, y = 48 and percent = ?

$$\begin{gathered} \frac{x}{y} =\frac{p}{100} \\ \frac{30}{48}=\frac{p}{100} \left[\mathrm{crossmultiply}\right] \\ 30\times 100=p\times 48 \\ 3000=48p \left[\mathrm{dividebothsideby}3\right] \\ \frac{3000}{3}=\frac{48p}{3} \\ 1000=16p \left[\mathrm{dividebothsideby}4\right] \\ \frac{1000}{4}=\frac{16p}{4} \\ 250=4p \left[\mathrm{dividebothsideby}2\right] \\ \frac{250}{2}=\frac{4p}{2} \\ 125=2p \left[\mathrm{dividebothsideby}2\right] \\ \frac{125}{2}=\frac{2p}{2} \\ \frac{125}{2}=p \\ p=\frac{125}{2} \\ p=62.5 \end{gathered}$$

Hence, 62.5 percent of 48 is 30.