i put the question in the bottom?

Question

a country club has two swimming pools. the bigger pool has a capacity of 75 more people than the smaller pool. if the combined capacity of the 2 pools is 105 people, how many people can the smaller pool take?

Answer 1

the smaller one can take 15 people, while the bigger one can take 90 people..

105-75=30
30/2=15

15+75=90

Answer 2

Subtract the capacity of the larger pool from the total capacity to get x

105 - 75 = x

Now since half of capacity x is in the larger pool (since the larger pool fits 75 MORE people) you divide by 2 to find the capacity of the smaller pool:

x / 2 = smaller pools capacity

Answer 3

These kind of questions you can figure out in your head if you focus. But here's how I would do it.

x = capacity of small pool
x+75=capacity of larger pool
x+x+75=105
2x+75=105
2x=30
x=15

So, the capacity of the small pool is 15.