
A 50-acre field yields 1400 bushels of wheat annually. How many additional acres must be planted so that the annual yield will be 1736 bushels?

To determine how many additional acres must be planted so that the annual yield will increase from 1,400 to 1,736 bushels, we can use the following steps:

1. **Determine the yield per acre**:
   - The current field is 50 acres and yields 1,400 bushels.
   - Yield per acre = \( \frac{1400 \, \text{bushels}}{50 \, \text{acres}} = 28 \, \text{bushels per acre} \).

2. **Determine the total number of acres needed for 1,736 bushels**:
   - To find out how many acres are needed to yield 1,736 bushels:
   \[
   \frac{1736 \, \text{bushels}}{28 \, \text{bushels per acre}} = 62 \, \text{acres}
   \]

3. **Calculate the additional acres required**:
   - Since the current field is 50 acres, the additional acres required are:
   \[
   62 \, \text{acres} - 50 \, \text{acres} = 12 \, \text{acres}
   \]

Thus, an additional **12 acres** must be planted to achieve a yield of 1,736 bushels annually.

Would you like more details on the process or have any other questions?

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Here are five related questions you might find useful:
1. If the yield per acre increases, how would that affect the additional acres needed?
2. How many bushels would a 100-acre field yield at the same rate?
3. What would the yield be if 70 acres were planted instead of 50?
4. If the yield per acre was reduced to 20 bushels, how would that change the required acreage for 1,736 bushels?
5. How many acres are needed to produce 2,000 bushels at the current yield rate?

**Tip**: Always ensure the unit conversions align correctly when dealing with rates and totals (like bushels per acre).

A 50-acre field yields 1400 bushels of wheat annually. How many additional acres must be planted so that the annual yield will be 1736 bushels?

Learn how to calculate the number of additional acres needed to increase a wheat yield from 1400 to 1736 bushels. This solution covers basic arithmetic and proportionality, suitable for students in Grades 6-8.

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