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Question

# Given that 35b = 21c, find the ratio b : c in simplest form.

Solution

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From the given cross products are the following holds

\begin{align*} \frac{35b}{35c}&=\frac{21c}{35c}&&\text{Divide each side by } 35c.\\ \textcolor{#4257b2}{\frac{b}{c}}&=\textcolor{#4257b2}{\frac{21}{35}}&&\text{Simplify}.\\ \end{align*}

The ratio $b : c \:$ is $\: 21 : 35$, or $3 : 5$. In simplest form, this ratio is $\textcolor{#4257b2}{3 : 5}$.

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