At a bakery, there were 3897 tarts to be packed into boxes. Each box could hold up to 32 tarts. (a) What was the smallest number of boxes required to pack all the tarts?

To determine the smallest number of boxes required to pack all **3,897** tarts, where each box can hold up to **32** tarts, follow these steps: 1. **Divide the total number of tarts by the capacity of one box:** \[ \frac{3,897 \text{ tarts}}{32 \text{ tarts/box}} = 121.78125 \text{ boxes} \] 2. **Interpret the result:** - **121.78125 boxes** means that **121 full boxes** can be completely filled. - The **0.78125** represents the remaining tarts that don't fill an entire box. 3. **Since you can't have a fraction of a box, round up to the next whole number:** \[ \text{Total boxes needed} = 122 \] - **121 boxes** will hold **121 × 32 = 3,872** tarts. - The remaining **3,897 - 3,872 = 25** tarts will require an additional box. **Answer:** **122 boxes** are needed to pack all the tarts.