Multiple choice

A huge jar contains 2 liquids A and B in the ratio 7 : 4. When 12 litres of mixture is removed and replaced by B, the ratio becomes 4 : 7. The capacity of the jar (in litres) is

  1. 12

  2. 24

  3. 28

  4. 30

  5. 56
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let the capacity of the jar be X litres, meaning it initially contains 7X/11 litres of liquid A and 4X/11 litres of liquid B. When 12 litres are removed, 12/11 of the total is removed, leaving liquid A at 7X/11 minus 84/11, which simplifies to 7(X - 12)/11. After replacing the 12 litres with liquid B, liquid B becomes 4(X - 12)/11 plus 12, which simplifies to (4X + 84)/11. The new ratio of A to B is 4 to 7, so 7 times 7(X - 12)/11 equals 4 times (4X + 84)/11. Solving 49(X - 12) = 16X + 336 gives 33X = 924, so the capacity is 28 litres.

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