A truck is carrying 10/3 bushels of apples and 10/2 bushels of grapes. Each bushel of apples weighs 30 pounds and each bushel of grapes weighs 20 pounds. What is the total weight of the fruit?

3,200 pounds
32,000 pounds
320,000 pounds
32,000,000 pounds

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
27 days ago

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.

1. **Weight of the apples:**
- Bushels of apples: \( \frac{10}{3} \)
- Weight per bushel of apples: 30 pounds
- Total weight of apples = \( \frac{10}{3} \times 30 \)
\[
\text{Total weight of apples} = \frac{10 \times 30}{3} = \frac{300}{3} = 100 \text{ pounds}
\]

2. **Weight of the grapes:**
- Bushels of grapes: \( \frac{10}{2} = 5 \)
- Weight per bushel of grapes: 20 pounds
- Total weight of grapes = \( 5 \times 20 \)
\[
\text{Total weight of grapes} = 100 \text{ pounds}
\]

3. **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.