Multiple choice

The ratio of milk and water is 3 : 2. If 10 gallons of water is added to it, the ratio becomes 4 : 3. What is the milk content in the mixture?

  1. 60 gallons

  2. 80 gallons

  3. 100 gallons

  4. 120 gallons

  5. 150 gallons
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let milk be 3x and water be 2x. (3x)/(2x+10) = 4/3. 9x = 8x + 40, so x = 40. Milk = 3x = 120 gallons.

AI explanation

Let the initial amounts of milk and water be 3x and 2x. Adding 10 gallons of water changes the ratio, so 3x divided by (2x plus 10) equals 4 divided by 3. Solving the equation 9x equals 8x plus 40 gives x equals 40. Multiply 3x by 40 to find the milk content, which is 120 gallons.

Keep practicing — related questions