Multiple choice

. A mixture of milk and water in a jar contains 28 L milk and 8 L water. X L milk and X L water are mixed to form a mixture. If 40% of the new mixture is 20 L, then find the value of X.

  1. 9

  2. 7

  3. 11

  4. 4

  5. 6

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original mixture: 28L milk, 8L water. New mixture: (28+X) milk, (8+X) water. Total volume = 36 + 2X. 40% of (36 + 2X) = 20 => 0.4 * (36 + 2X) = 20 => 36 + 2X = 50 => 2X = 14 => X = 7.

AI explanation

We are given that 40% of the new mixture is 20 liters, so we divide 20 by 0.40 to find the total new mixture volume of 50 liters. The original mixture contains 28 liters of milk and 8 liters of water, totaling 36 liters. Since X liters of milk and X liters of water are added, the equation is 36 plus 2X equals 50. Solving for X gives 2X equals 14, which means X is 7.