Multiple choice

Sharabi Chand 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 18 liters in which the ratio of alcohol to water is (4 : 5). The quantity of mixture whose ratio is (3 : 4), is required to make the 18 liters of the third kind of mixture is -

  1. 7 litre

  2. 8 litre

  3. 9 litre

  4. 10 litre

  5. 12 litre

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let x litres of mixture 1 (3:4 alcohol:water ratio) and (18-x) litres of mixture 2 (5:6 ratio). Alcohol fractions: 3/7 and 5/11. Total alcohol needed: 4/9 × 18 = 8 litres. Equation: 3x/7 + 5(18-x)/11 = 8. Solving gives x = 7 litres of the first mixture.