Chapter 12, Problem 10QC

To determine

To calculate: To determine whether the pair of ratios forms a proportion.

Answer to Problem 10QC

Pair of ratios are in proportion

Explanation of Solution

Given information: Pair of ratios is $\frac{2}{5}$ and $\frac{10}{25}$

Formula Used: Proportion is a statement when two ratios are equal. It can be written in two ways:

  $\frac{a}{b}=\frac{c}{d}$ or $a:b=c:d$

Calculation:

Pair of ratios is given as follows:

  $\frac{2}{5}$ and $\frac{10}{25}$

Here, $\frac{2}{5}$ is in the simplest form

Reducing $\frac{10}{25}$ to simplest form,

  $\frac{10}{25}=\frac{2}{5}$

Thus,

  $\frac{2}{5}=\frac{2}{5}$

Or

  $\frac{2}{5}=\frac{10}{25}$

Since two ratios are equal, thus the pair of ratios are in proportion

Conclusion:

Hence, pair of ratios are in proportion