1. 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** when each box can hold up to **32 tarts**, follow these steps: 1. **Divide the Total Number of Tarts by the Capacity of Each Box:** \[ \frac{3,897 \text{ tarts}}{32 \text{ tarts/box}} = 121.78125 \text{ boxes} \] 2. **Interpret the Result:** - The quotient **121.78125** means that **121** boxes can hold **121 × 32 = 3,872 tarts**. - This leaves **3,897 - 3,872 = 25 tarts** that still need to be packed. 3. **Account for the Remaining Tarts:** - Since the remaining **25 tarts** cannot fit into the already filled boxes, an **additional box** is required to accommodate them. 4. **Calculate the Total Number of Boxes:** \[ 121 \text{ boxes} + 1 \text{ additional box} = 122 \text{ boxes} \] **Answer:** **122 boxes** are required to pack all the tarts.