350 boxes can be placed in 25 cartons. How many boxes can be placed in 16 cartons?

Answer

To solve the problem of how many boxes can be placed in 16 cartons, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship**: We know that 350 boxes can be placed in 25 cartons. We need to find out how many boxes can be placed in 16 cartons. This is a direct proportion problem because as the number of cartons decreases, the number of boxes that can fit also decreases.

2. **Set up the proportion**: We can express the relationship as:
\[ \frac{\text{Number of boxes}}{\text{Number of cartons}} = k \]
where \( k \) is a constant.

3. **Find the value of k**:
From the information given:
\[ k = \frac{350 \text{ boxes}}{25 \text{ cartons}} = 14 \text{ boxes per carton} \]

4. **Calculate the number of boxes in 16 cartons**:
Now that we know how many boxes fit in one carton, we can find out how many boxes fit in 16 cartons:
\[ \text{Number of boxes in 16 cartons} = k \times 16 = 14 \times 16 \]

5. **Perform the multiplication**:
\[ 14 \times 16 = 224 \]

6. **Conclusion**: Therefore, the number of boxes that can be placed in 16 cartons is **224 boxes**.