Multiple choice

The ratio of milk to water in a mixture of 189 litres is 7 : 2. To make a new mixture containing milk and water in the ratio 3 : 2, the amount of water to be added is

  1. 46 litres

  2. 66 litres

  3. 56 litres

  4. 50 litres

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity of milk in 189 litres of mixture = (7 x 189) / 9 = 147 litres Quantity of water = (189-147) litres = 42 litres Let x litres of water be mixed to get the required ratio. 3 : 2 = 147 / (42 + x) 3 / 2 = 3x + 126 294 = 3x 3x = 294 – 126 = 168 x = 168 / 3 = 56 litres

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