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Answers without the blur. Sign up and see all textbooks for free! Q11.

Expert-verified Found in: Page 288 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Use equivalent ratios to solve the proportion.$\text{\hspace{0.17em}\hspace{0.17em}}\frac{a}{12}=\frac{33}{36}$

The solution is $a=11$.

See the step by step solution

## Step 1.  Given

The given proportion is$\frac{a}{12}=\frac{33}{36}$.

## Step 2.  To determine

We have to solve the proportion using equivalent ratios.

## Step 3.  Calculation

Solve the given proportion.

$\begin{array}{c}\frac{a}{12}=\frac{33}{36}\\ \frac{a}{12×3}=\frac{33}{36}\text{}\left[\text{compare denominators}\right]\\ \frac{a×3}{36}=\frac{33}{36}\text{}\left[\text{find}a\right]\\ 3a=33\\ 3a÷3=33÷3\text{}\left[\text{divide each by 3}\right]\\ a=11\end{array}$

So, the solution is $a=11$. ### Want to see more solutions like these? 