Juice and milk are in a ratio of 3 ∶ 14. More juice is added and the ratio becomes 9 ∶ 14. If initially the mixture was 51 litres, what is the amount later?
Juice ? Milk = 3 ? 14
Amount = 51 litres
Amount of juice = 9 litres
Amount of milk = 51 - 9 = 42 litres
Let x amount of juice be added, such that ratio becomes 9 ? 14
(9 + x) ? 42 = 9 ? 14
⇒ (9 + x)(14) = (42)(9)
⇒ x = 18
New amount = 51 + 18 = 69 litres