Concentration Problem: Salt Solution

Original Solution

• The original solution contains 12% salt in 60 gallons of solution.

• The amount of salt is calculated as 12% of 60 gallons, which equals 19.2 gallons of salt.

  0.12 \times 60 = 19.2

• The total solution volume is 60 gallons.

Amount of Salt Removed

• No salt is being removed from the solution.
• The process involves evaporating pure water, not removing salt.
• The goal is to increase the concentration of salt from 12% to 20% by reducing the amount of water.
• The amount of salt removed is 0.

Total Solution Removed

• Let x represent the amount of pure water to be removed (evaporated).
• The total solution amount decreases by x.
• The new solution will have a volume of 60 - x gallons.
• The objective is to find the value of x such that the remaining salt (19.2 gallons) constitutes 20% of the new solution.
• Removing a certain amount of pure water ensures that the remaining salt makes up 20% of the solution.