# A 30-inch segment is cut into two parts whose lengths have the ratio 3 to 5. How do you find the length of the shortest part?

Jul 11, 2017

$11.25$

#### Explanation:

$\text{adding the ratio parts } 3 + 5 = 8$

$\text{1 part } = \frac{30}{8} = 3.75$

$\Rightarrow \text{5 parts "=5xx3.75=18.75larrcolor(red)" longest part}$

$\Rightarrow \text{3 parts "=3xx3.75=11.25larrcolor(red)" shortest part}$

$\textcolor{b l u e}{\text{As a check}}$

$18.75 + 11.25 = 30$