Question
Mixture A has juice and water in a ratio of 3:5, while
mixture B has juice and water in a ratio of 5:4. If these two mixtures are combined in a 2:3 ratio (A to B), what will be the ratio of juice to water in the final mixture?Solution
Let, the total quantity of mixture βAβ and mixture βBβ be β24xβ litres and β36xβ litres, respectively.
So, the sum of quantity of juice in mixture βAβ and mixture βBβ = (3/8) Γ 24x + (5/9) Γ 36x
= 9x + 20x = β29xβ litres
Sum of quantity of water in mixture βAβ and mixture βBβ = (24x + 36x) β 29x = 60x β 29x = β31xβ litres
So, the required ratio = 29x:31x = 29:31
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