Q18. - Algebra 1

Question

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

$\frac{15}{35}=\frac{g}{7}$

Step-by-Step Solution

Answer

The value of $g=3$.

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:

$\begin{array}{c}\frac{15}{35}=\frac{g}{7}\\ 7\left(15\right)=\left(g\right)35\end{array}$

Step-3. Simplify for g .

To further simplify, divide each side by 35.

$\begin{array}{c}7\left(15\right)=\left(g\right)35\\ 105=35g\\ \frac{105}{35}=\frac{35g}{35}\\ g=3\end{array}$

 

Therefore, the value of $g=3$.