# Minimum Number of Cupcake Desserts on each Platter: Solving Maxinne’s Dilemma

Maxinne’s dilemma is a common one faced by many who are planning a party or event. How do you evenly distribute a certain number of items, in this case, cupcakes, across a certain number of platters? The answer to this question can be found through simple mathematics, but it also requires a bit of strategic thinking and planning. Let’s delve into this problem and find the best solution for Maxinne.

## Understanding the Problem

Maxinne has 21 cupcakes and she wants to arrange them on platters with the same number of cupcakes on each platter. The question is, what is the minimum number of cupcakes she could put on each platter? To answer this, we need to understand the factors of 21. Factors are numbers that can be multiplied together to get another number. In this case, the factors of 21 are 1, 3, 7, and 21.

## Identifying the Solution

Given the factors of 21, the minimum number of cupcakes Maxinne could put on each platter would be 1. This would mean she would need 21 platters, each with one cupcake. However, this may not be the most practical solution. If she has fewer platters or wants to make the display look more abundant, she could use the other factors of 21. For example, she could have 7 platters with 3 cupcakes each, or 3 platters with 7 cupcakes each.

## Considering Practical Implications

While the mathematics provides us with the possible solutions, Maxinne also needs to consider the practical implications. If she only has a few platters, she may need to opt for a higher number of cupcakes per platter. She also needs to consider the visual appeal. A platter with just one cupcake may not look as appealing as a platter with several cupcakes. Therefore, while the minimum number of cupcakes per platter is 1, the best solution for Maxinne may be to have 3 or 7 cupcakes per platter, depending on her specific circumstances.

## Conclusion

In conclusion, the minimum number of cupcakes Maxinne could put on each platter is 1, but the best solution depends on the number of platters she has and the visual effect she wants to achieve. By understanding the factors of the total number of cupcakes and considering the practical implications, Maxinne can find the best solution to her dilemma.

## FAQs

### What if Maxinne has a different number of cupcakes?

The same process can be applied no matter how many cupcakes Maxinne has. She just needs to find the factors of that number and consider the practical implications.

### What if Maxinne wants to have a different number of cupcakes on each platter?

If Maxinne wants to have a different number of cupcakes on each platter, she would need to consider the divisors of the total number of cupcakes and how she could distribute them unevenly across the platters.