Question
Mixture βAβ initially has milk and water in a ratio
of 5:9. After adding 11 liters of milk and 17 liters of water, the new ratio of milk to water becomes 4:7. Determine the initial quantity of water in mixture βAβ.Solution
Let, the quantity of milk and water in the initial mixture be β5xβ litres and β9xβ litres respectively.
ATQ,
(5x + 11)/(9x + 17) = 4/7
Or, 35x + 77 = 36x + 68
Or, x = 9
So, quantity of water in the initial mixture βAβ = 9 Γ 9 = 81 litres
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