Q17. - Algebra 1

Question

Use the percent proportion to find the following number.

What number is 150% of 32?

Step-by-Step Solution

Answer

150% of 32 is 48.

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.

y = 32, percent = 150 and x = ?

$$\begin{gathered} \frac{x}{y} =\frac{p}{100} \\ \frac{x}{32}=\frac{150}{100} \left[\mathrm{crossmultiply}\right] \\ x\times 100=150\times 32 \\ 100x=4800 \left[\mathrm{dividebothsideby}100\right] \\ \frac{100x}{100}=\frac{4800}{100} \\ x=48 \end{gathered}$$

Hence, 150 percent of 32 is 48.