SOLUTION: Hey community pool is open for 15 weeks each year. There are two payment options: you can pay three dollars per visit or you can buy a season pass for $84 for unlimited access. On

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hey community pool is open for 15 weeks each year. There are two payment options: you can pay three dollars per visit or you can buy a season pass for $84 for unlimited access. On       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1195980: Hey community pool is open for 15 weeks each year. There are two payment options: you can pay three dollars per visit or you can buy a season pass for $84 for unlimited access. On what day will both options equal each other in value. Create a system of equations and use the equal value theorem to solve
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = number of days
y = total cost

Option 1: Paying $3 per day
y = 3x

Option 2: Buy a season pass
y = 84
The variable x plays no role here since the cost is fixed or flat.

Equate the right hand sides and solve.
3x = 84
x = 84/3
x = 28

Answer: On day 28 is when the two payment options cost the same ($84)