A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernels. There are 1,450 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last partially filled box? 13 boxes, twelve of them filled and 10 popped kernels in the last box - 130 boxes with 10 popped kernels in the last partially filled box - 12 boxes, eleven of them filled and 10 popped kernels in the last box - 12 boxes

To determine how many boxes are needed and how many popped kernels are in the last partially filled box, we can follow these steps: 1. **Calculate the total number of popped kernels from a pound of unpopped popcorn:** - There are 1,450 kernels in a pound of unpopped popcorn. 2. **Determine how many boxes can be filled:** - Each box holds 120 popped kernels. - To find out how many full boxes can be filled, we divide the total number of popped kernels by the number of kernels per box: \[ \text{Number of full boxes} = \frac{1450}{120} \approx 12.0833 \] - This means we can fill 12 full boxes. 3. **Calculate the number of kernels in the last partially filled box:** - The total number of kernels in 12 full boxes is: \[ 12 \times 120 = 1440 \text{ kernels} \] - The number of kernels left for the last box is: \[ 1450 - 1440 = 10 \text{ kernels} \] 4. **Conclusion:** - We need 13 boxes in total (12 filled and 1 partially filled). - The last partially filled box contains 10 popped kernels. Thus, the correct answer is: **13 boxes, twelve of them filled and 10 popped kernels in the last box.**