Multiple choice

Ram purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 : 4 . and in the second mixture it is 5 : 6. If he mixes the two given mixtures and makes a third mixture of 36 litre in which the ratio of alcohol to water is 4 : 5, find the quantity of the first mixture that is required to make 36 litre of the third kind of mixture is :

  1. 6

  2. 7

  3. 14

  4. 9

  5. 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x liters from first mixture (3:7 alcohol:water) and (36-x) from second (5:11 alcohol:water). Total alcohol = 3x/7 + 5(36-x)/11 = 36 × 4/9 = 16. Solving 33x + 180(36-x) = 1232 gives 33x - 180x = 1232 - 6480, so x = 14 liters.

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