The ratio of goats to cows on a farm is 7:4. There are 42 goats on this farm.
Find the number of cows on the farm.

Given the ratio of goats to cows is \( 7:4 \), and there are 42 goats on the farm, you can solve for the number of cows by setting up a proportion.

Let the number of cows be \( x \).

The ratio is expressed as:
\[
\frac{7}{4} = \frac{42}{x}
\]

Cross-multiply to solve for \( x \):
\[
7 \cdot x = 4 \cdot 42
\]

Simplify:
\[
7x = 168
\]

Now, divide by 7 to isolate \( x \):
\[
x = \frac{168}{7} = 24
\]

So, there are 24 cows on the farm.

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. If the ratio of cows to chickens on the farm is 4:5, how many chickens are there?
2. What is the total number of animals on the farm?
3. If the number of goats increased by 50%, how many goats would there be?
4. If the ratio of cows to goats changed to 3:2, how many cows would be on the farm?
5. What would happen to the ratio if 10 goats were added to the farm?

**Tip:** When working with ratios, always keep the order consistent. For example, if the ratio of goats to cows is given, solve for cows by keeping goats in the numerator.

Learn how to solve a ratio problem where the ratio of goats to cows is 7:4 and there are 42 goats on the farm. Follow a step-by-step solution using proportions to find the number of cows. Suitable for students in Grades 6-8.

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