Multiple choice

Ritesh deliberately mixed 3 litres of water with 8 litres of milk. Find the amount of mixture that should be replaced by water such that the quantity of milk and water is equal in the final mixture.

  1. 4.2 litres

  2. 3.43 litres

  3. 2.76 litres

  4. 5.54 litres

  5. 4.98 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial: 8 milk, 3 water (Total 11). We want equal parts (5.5 milk, 5.5 water). Replacing x litres of mixture (which is 8/11 milk and 3/11 water) with x litres of water: New milk = 8 - (8/11)x = 5.5. (8/11)x = 2.5. x = 2.5 * 11 / 8 = 3.4375.

AI explanation

Using the replacement formula for mixtures, the final quantity of milk equals the initial amount multiplied by (1 minus (replaced volume divided by total volume)). The total initial volume is 11 liters and the initial milk is 8 liters. We want the final milk to equal the final water, meaning 5.5 liters of milk remains. Setting up the equation 8 times (1 minus (x divided by 11)) equals 5.5 gives 1 minus (x divided by 11) equals 0.6875. Solving for x yields 3.4375, meaning approximately 3.43 liters of the mixture must be replaced.

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