I need help with this problem

Question

Alfonso wants to purchase a pool membership for the summer. He has no more than y dollars to spend. The Aquatics Club charges an initial fee of 75 dollars plus 20 dollars per month. The Swimming hole charges an initial fee of 15 dollars plus 65 dollars per month. Write a system of inequalities to represent the problem. Let x represent the number of months.

Answer 1

S ≤4/3; A≥4/3

Answer 2

A costs = 75 + 20x

S costs = 15+ 65x

75 + 20x = 15 + 65x

45x = 60

x=60/45 = 1 1/3

If you do more than 1 1/3 months it's cheaper to go with A

If you do less than 1 1/3 months it's cheaper to go with S

the cost is the same if you do exactly 1 1/3 months