Question
A small goat diary farm has 38 acres of land and 210 goats. Calculate the density of goats per acre on the farm. If the goal is to have between 6 and 8 goats per acre, does the farm need to make any changes?
Answers
GPT-4o mini
To calculate the density of goats per acre, you can use the formula:
\[
\text{Density of goats per acre} = \frac{\text{Number of goats}}{\text{Number of acres}}
\]
Plugging in the values:
\[
\text{Density} = \frac{210 \text{ goats}}{38 \text{ acres}} \approx 5.53 \text{ goats per acre}
\]
Now, comparing this density (approximately 5.53 goats per acre) to the goal of having between 6 and 8 goats per acre:
- The current density (5.53) is below the minimum target of 6 goats per acre.
Therefore, the farm would need to make changes to increase the goat density to meet the goal of having between 6 and 8 goats per acre. This could involve increasing the number of goats or reducing the amount of land available for grazing.
\[
\text{Density of goats per acre} = \frac{\text{Number of goats}}{\text{Number of acres}}
\]
Plugging in the values:
\[
\text{Density} = \frac{210 \text{ goats}}{38 \text{ acres}} \approx 5.53 \text{ goats per acre}
\]
Now, comparing this density (approximately 5.53 goats per acre) to the goal of having between 6 and 8 goats per acre:
- The current density (5.53) is below the minimum target of 6 goats per acre.
Therefore, the farm would need to make changes to increase the goat density to meet the goal of having between 6 and 8 goats per acre. This could involve increasing the number of goats or reducing the amount of land available for grazing.