Question

he ratios 1:3 and :21 are equivalent.

Answer 1

To determine the missing value in the ratio \( :21 \) that is equivalent to \( 1:3 \), we can set up a proportion.

We know that:

\[
\frac{1}{3} = \frac{x}{21}
\]

To solve for \( x \), we can cross-multiply:

\[
1 \cdot 21 = 3 \cdot x
\]

This simplifies to:

\[
21 = 3x
\]

Now, divide both sides by 3:

\[
x = \frac{21}{3} = 7
\]

Thus, the missing value in the ratio \( :21 \) that is equivalent to \( 1:3 \) is 7. Therefore, the equivalent ratio is \( 7:21 \).