Question

Molly works at an apple orchard. She picked 1,078 apples last weekend.

Part A: How many bags containing 12 apples each did Molly fill? Explain how you used the quotient and the remainder to find your answer.
Part B: Could molly use a different number of bags and put an equal number of apples in each bag without and apples left over? If so, how many bags could she use and how many apples would be in each bag? Explain how you reached your conclusion.

Answer 1

To find the number of bags Molly filled with 12 apples each, divide the total number of apples by 12. Molly filled 89 bags and had 2 apples left over. Molly cannot use a different number of bags and put an equal number of apples in each bag without any apples left over.

Step-by-step explanation:

Part A: To find the number of bags containing 12 apples each that Molly filled, we divide the total number of apples Molly picked (1,078) by the number of apples in each bag (12). The quotient will give us the number of bags Molly filled and the remainder will tell us if there are any leftover apples. So, 1,078 divided by 12 equals 89 with a remainder of 2. This means Molly filled 89 bags with 12 apples each and had 2 apples left over.

Part B: Molly cannot use a different number of bags and put an equal number of apples in each bag without any apples left over. This is because the total number of apples (1,078) is not perfectly divisible by any number except 1 and itself. Therefore, there will always be some apples left over. In this case, Molly could use 89 bags with 12 apples each as we found in Part A, and there would be 2 apples left over.