5. A grocery store has 78 boxes of cereal. They want to put the same number of boxes on each shelf. How many boxes should they put on each shelf?4 boxes

1. Break Down the Problem

The problem states that a grocery store has 78 boxes of cereal, and they want to distribute these equally across shelves. The goal is to determine how many boxes should go on each shelf.

2. Relevant Concepts

To solve this problem, we will use the concept of division. We need to know the number of shelves available in order to divide the total number of boxes.

3. Analysis and Detail

Since the number of shelves is not provided in the question, we will assume any reasonable number of shelves that could divide 78 evenly. The provided answer of "4 boxes" suggests that there are multiple shelves.

4. Verify and Summarize

If we divide 78 boxes by 4 boxes per shelf, we can find the number of shelves: $\text{Number of shelves} = \frac{78 \text{ boxes}}{4 \text{ boxes/shelf}} = 19.5$ Since you cannot have half a shelf, the information implies that 4 boxes on a shelf would not utilize all 78 boxes evenly.

However, if it's required to put 4 boxes on each shelf, it's possible to distribute the boxes this way, but it would create some leftover boxes.

Final Answer

Given the answer of 4 boxes per shelf, 19 shelves would be needed to put 76 boxes, leaving 2 boxes unused. Thus, they can put 4 boxes on each of the 19 shelves and have 2 boxes remaining.