Multiple choice

In a 729 litre solution of Acid and Water, the ratio of acid and water is 7 : 2. To get a solution with the ratio 5 : 3 between acid to water, how many litres of water should be mixed in it ?

  1. $180.4$
  2. $178.2$
  3. $182.4$
  4. $187.2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total 729L in 7:2 ratio gives acid = 567L, water = 162L. After adding x liters water: acid remains 567L, total water = (162 + x)L. New ratio 567 : (162 + x) = 5 : 3. Cross-multiplying: 1701 = 810 + 5x, giving 5x = 891 and x = 178.2L.