Question: b. Complete the statement.
The total amount of farmland in West Virginia is split up among all the farms, so to determine the average number of acres for 1 farm,
○ add 22, 500 to 3, 500, 000.
○ subtract 22, 500 from 3, 500, 000.
○ multiply 3, 500, 000 by 22, 500.
○ divide 3, 500, 000 by 22, 500.
c. Complete the ratio.
______ acres
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farms
1. **State the problem:** We want to find the average number of acres per farm in West Virginia.
2. **Understand the data:** The total farmland is $3,500,000$ acres, and there are $22,500$ farms.
3. **Formula for average:** The average acres per farm is given by dividing the total acres by the number of farms:
$$\text{Average acres per farm} = \frac{\text{Total acres}}{\text{Number of farms}}$$
4. **Apply the formula:**
$$\frac{3,500,000}{22,500}$$
5. **Simplify the division:**
First, write the division:
$$\frac{3,500,000}{22,500}$$
We can simplify by canceling zeros:
$$\frac{3,500,000}{22,500} = \frac{\cancel{3,500,000}}{\cancel{22,500}} = \frac{3500000}{22500}$$
Dividing numerator and denominator by 500:
$$\frac{\cancel{3500000} \div 500}{\cancel{22500} \div 500} = \frac{7000}{45}$$
Now divide $7000$ by $45$:
$$7000 \div 45 \approx 155.56$$
6. **Interpretation:** Each farm has on average about $155.56$ acres.
7. **Complete the multiple-choice:** The correct operation is to **divide $3,500,000$ by $22,500$**.
8. **Complete the ratio:**
$$\frac{3,500,000 \text{ acres}}{22,500 \text{ farms}}$$
This ratio represents the average acres per farm.
**Final answer:**
- The correct operation is: divide $3,500,000$ by $22,500$.
- The ratio is $\frac{3,500,000 \text{ acres}}{22,500 \text{ farms}}$.
- The average acres per farm is approximately $155.56$ acres.