Find the number that makes the ratio equivalent to 8:3.

:30

1 answer

To find the number that makes the ratio \(8:3\) equivalent to \(x:30\), we can set up the proportion:

\[ \frac{8}{3} = \frac{x}{30} \]

Now, cross-multiply to solve for \(x\):

\[ 8 \times 30 = 3 \times x \]

This simplifies to:

\[ 240 = 3x \]

Now, divide both sides by 3:

\[ x = \frac{240}{3} = 80 \]

So, the number that makes the ratio equivalent to \(8:3\) is \(80\).