Question

The ratio of goats to sheep at a university research farm is 4:7. The number of sheep at the farm is 28. What is the number of goats?

Answer 1

To find the number of goats, we start with the given ratio of goats to sheep, which is 4:7. We can denote the number of goats as \( G \) and the number of sheep as \( S \). Given that \( S = 28 \), we can set up the ratio as follows:

\[
\frac{G}{S} = \frac{4}{7}
\]

Substituting \( S \) with 28, we have:

\[
\frac{G}{28} = \frac{4}{7}
\]

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

\[
G \cdot 7 = 4 \cdot 28
\]

Calculating the right side:

\[
4 \cdot 28 = 112
\]

Thus, we have:

\[
7G = 112
\]

Now, we solve for \( G \):

\[
G = \frac{112}{7} = 16
\]

Therefore, the number of goats at the farm is \( \boxed{16} \).