If Sarah bought 12 pies for $30, how many pies could she have bought for $37.50 at the same rate?

Options

A. `9`
B. `12`
C. `15`
D. `24`

Answer

To solve the problem of how many pies Sarah could buy for $37.50 at the same rate she bought 12 pies for $30, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the cost per pie**:
- Sarah bought 12 pies for $30.
- The cost per pie can be calculated as:
\[ \text{Cost per pie} = \frac{\text{Total cost}}{\text{Number of pies}} = \frac{30}{12} \]

2. **Calculate the cost per pie**:
- Simplifying the fraction:
\[ \frac{30}{12} = \frac{5}{2} = 2.5 \text{ dollars per pie} \]

3. **Calculate how many pies can be bought for $37.50**:
- To find out how many pies can be bought for $37.50, we use the cost per pie:
\[ \text{Number of pies} = \frac{\text{Total amount}}{\text{Cost per pie}} = \frac{37.50}{2.5} \]

4. **Perform the division**:
- Dividing $37.50 by $2.50:
\[ \frac{37.50}{2.5} = 15 \]

5. **Conclusion**:
- Therefore, Sarah could buy **15 pies** for $37.50.

### Final Answer:
Sarah could have bought **15 pies** for $37.50.

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