Decide how many cakes to order when a party could have as few as 50 people and as many as 100 people.

To decide how many cakes to order, a good approach would be to consider the average number of people attending parties and add a little extra to accommodate variations.

If the party could have as few as 50 people and as many as 100 people, then it would be reasonable to assume that the average number of people attending the party would be close to the middle, which is (50 + 100) / 2 = 75 people.

To accommodate variations and ensure there is enough cake for everyone, it would be wise to order slightly more than the average number of people attending. Adding 10-20% extra usually works. Therefore, calculating 10-20% of 75:

10% of 75 = 0.1 x 75 = 7.5, rounded up to 8 people.
20% of 75 = 0.2 x 75 = 15 people.

So, considering the range of attendees, it would be a good idea to order around 75 + 8 = 83 cakes if a 10% buffer is added, or around 75 + 15 = 90 cakes if a 20% buffer is added.

To decide how many cakes to order for a party that could have as few as 50 people and as many as 100 people, we need to estimate the number of servings per cake and take into consideration the average consumption and potential leftovers. Here's a step-by-step approach:

Step 1: Determine the average number of servings per cake:
- Consider the size of the cakes you plan to order. Typically, a round cake with an 8-inch diameter can serve around 12-16 people. Let's assume 14 servings per cake for our estimation.

Step 2: Estimate the number of guests per cake:
- Divide the maximum number of guests (100 people) by the average number of servings per cake (14 servings) to get an estimate.
- 100 guests / 14 servings per cake = 7.14 cakes

Step 3: Round up the number of cakes needed:
- Since you cannot have a fraction of a cake, round up the number to the nearest whole number.
- From step 2, we estimated 7.14 cakes, so we round it up to 8 cakes.

Therefore, you should order around 8 cakes for the party to ensure you have enough to accommodate as many as 100 people. Keep in mind that this estimation assumes each guest will have only one serving of cake, and it doesn't account for personal preferences, dietary restrictions, or additional desserts that may be available.