Multiple choice

From 200 gallons of solution having 80 percent milk concentration, 30 gallons is taken out and equal amount of water is added. The new concentration of milk in the mixture is

  1. 60 %

  2. 68 %

  3. 70 %

  4. 172 %

  5. 90 %
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial milk = 200 * 0.8 = 160 gallons. Removing 30 gallons of mixture removes 30 * 0.8 = 24 gallons of milk. Remaining milk = 160 - 24 = 136 gallons. The total volume remains 200 gallons. New concentration = 136/200 = 0.68 or 68%.

AI explanation

The initial mixture contains 80 percent of 200 gallons, which is 160 gallons of milk. Removing 30 gallons of the solution removes 30 times 0.8, or 24 gallons of milk, leaving 136 gallons of milk. Adding 30 gallons of water brings the total volume back to 200 gallons. Divide 136 by 200 to get a new concentration of 68 percent.

Keep practicing — related questions