Q15. - Algebra 1

Question

Use the percent proportion to find the following number.

Find 10% of 95?

Step-by-Step Solution

Answer

10% of 95 is 9.5.

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 = 10, y = 95 and x =?

$$\begin{gathered} \frac{x}{y} =\frac{p}{100} \\ \frac{x}{95}=\frac{10}{100} \left[\mathrm{crossmultiply}\right] \\ x\times 100=95\times 10 \\ 100x=950 \left[\mathrm{dividebothsideby}10\right] \\ \frac{100x}{10}=\frac{950}{10} \\ 10x=95 \left[\mathrm{dividebothsideby}5\right] \\ \frac{10x}{5}=\frac{95}{5} \\ 2x=19 \\ x=\frac{19}{2} \\ x=9.5 \end{gathered}$$

Hence, 10% of 95 is 9.5.