a store has a total of 108 full-times staff.there are three times as many full-time staff as part times staff. How many staff are in each category?

To solve this problem, let's break it down step by step.

Step 1: Define the variables.
Let's assume the number of part-time staff is "x".
Given that there are three times as many full-time staff as part-time staff, the number of full-time staff would be 3x.

Step 2: Write an equation based on the given information.
According to the problem, the total number of staff (part-time + full-time) is 108. So, we can write an equation as follows:
x + 3x = 108

Step 3: Solve the equation.
Combining like terms, we have:
4x = 108

Dividing both sides of the equation by 4:
x = 108 / 4
x = 27

Step 4: Calculate the number of full-time staff.
As we assumed the number of part-time staff to be 27, we can calculate the number of full-time staff:
3x = 3 * 27
3x = 81

Step 5: Summarize the results.
According to the calculations, there are 27 part-time staff and 81 full-time staff in the store.

108 / 3 = 36

108 full time

36 part time