• What is the formula for concentration?
• How much chlorine (concentrate) is in the pool at the beginning?
• If x gallons of chlorine is added to the pool, how much total liquid is in the pool?
• If x gallons of chlorine is added to the pool, how much total chlorine is in the pool?
• Set up the formula for the concentration using the information above so the concentration is equal to the desired concentration in the problem.
- The formula for concentration is: Concentration = Amount of Solute / Volume of Solution
- The amount of chlorine in the pool at the beginning is the initial concentration times the initial volume of the pool.
- If x gallons of chlorine is added to the pool, the total liquid in the pool would be the initial volume of the pool plus x gallons.
- If x gallons of chlorine is added to the pool, the total chlorine in the pool would be the initial amount of chlorine plus x gallons.
- Setting up the formula for concentration using the given information:
Concentration = (Initial amount of chlorine + x) / (Initial volume of the pool + x) = Desired concentration