Multiple choice

Two liquids A and B are mixed together in a ratio 1:2 and the total solution is 45 liters. What quantity of liquid A can change the ratio into 2:1?

  1. 45 litres

  2. 49 litres

  3. 51 litres

  4. 64 litres

  5. 70 litres
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A Correct answer
Explanation

Initial: A = 15, B = 30 (Total 45). To change ratio to 2:1, let x be the amount of A added. (15+x)/30 = 2/1 => 15+x = 60 => x = 45.

AI explanation

The total solution is 45 litres, and the initial ratio of liquid A to liquid B is 1 to 2. This gives initial amounts of 15 litres for liquid A and 30 litres for liquid B. To change the ratio to 2 to 1, the 30 litres of liquid B becomes the lower value of the new ratio. This means the new amount of liquid A must be 30 multiplied by 2, resulting in 60 litres. The added quantity is 60 minus 15, which equals 45 litres.

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