How do I write an equation for a word problem?

Question

At a local swim club , you can purchase an annual membership for $24 which will allow you $1 admissions to the pool all summer. If you do not purchase the membership, the pool admission is $5. Determine the number of times you must visit the pool with membership that would equal the cost of paying full price. Write an equation and solve

Answer 1

Let x = number of visits.

 

24 + $1(x) = $5(x)

 

Subtract 1x from both sides:

 

24 = 4x

 

x = 6.