To calculate the total weight of the fruit, we first need to determine the weights of the apples and grapes separately, and then sum them up.
-
Weight of the apples:
- Bushels of apples: \( \frac{10}{3} \)
- Weight per bushel of apples: 30 pounds
- Total weight of apples = \( \frac{10}{3} \times 30 \) \[ \text{Total weight of apples} = \frac{10 \times 30}{3} = \frac{300}{3} = 100 \text{ pounds} \]
-
Weight of the grapes:
- Bushels of grapes: \( \frac{10}{2} = 5 \)
- Weight per bushel of grapes: 20 pounds
- Total weight of grapes = \( 5 \times 20 \) \[ \text{Total weight of grapes} = 100 \text{ pounds} \]
-
Total weight of the fruit:
- Total weight = weight of apples + weight of grapes \[ \text{Total weight} = 100 + 100 = 200 \text{ pounds} \]
Now, looking at the provided options:
- 3,200 pounds
- 32,000 pounds
- 320,000 pounds
- 32,000,000 pounds
None of these options match the calculated total weight of 200 pounds. It's possible that there was some error in the problem's statements or the options provided, as the correct total weight of the fruit is 200 pounds.