Answer: There are 200 cups in the whole bucket.
Step-by-step explanation:
For this exercise you need to analize the information given in the exercise.
Let "x" represents the amount of cups in the whole bucket.
According to the explained in the exercise, with 75 cups Andre filled [tex]\frac{3}{8}[/tex] of the bucket.
Then, keeping that on mind, you can write the following equation to represent this situation:
[tex]\frac{3}{8}x=75[/tex]
Finally, you must solve for the variable "x" in order to find its value.
You get that this is:
[tex]3x=(75)(8)\\\\3x=600\\\\x=\frac{600}{3}\\\\x=200[/tex]
Therefore, as you can notice, there are 200 cups in the whole bucket.
