Question

Find the ratio a : b, given each equality.
7a = 3b

Answer 1

To find the ratio \( a : b \) from the equation \( 7a = 3b \), we can rearrange the equation to express \( a \) in terms of \( b \) or vice versa.

Let's isolate \( a \):

\[
7a = 3b
\]

Now divide both sides by 7:

\[
a = \frac{3b}{7}
\]

Now, we can express the ratio \( a : b \):

\[
\frac{a}{b} = \frac{3}{7}
\]

Thus, the ratio \( a : b \) can be written as:

\[
a : b = 3 : 7
\]

So, the final answer is:

\[
\boxed{3 : 7}
\]