Q3A. - Algebra 1

Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{r}{8}=\frac{25}{40}$

Step-by-Step Solution

Answer

The value of $r=5$.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{r}{8}=\frac{25}{40}\\ r\left(40\right)=\left(8\right)25\end{array}$

Step-3. Simplify for r .

To further simplify, divide each side by 40.

$$\begin{gathered} r\left(40\right)=\left(8\right)25 \\ 40r=200 \\ r=\frac{200}{40} \\ r=5 \end{gathered}$$

Therefore, the value of $r=5$.