Question 117

Two equal vessels are filled with the mixture of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be

Solution

Let's say amounts in first vessel are 3x and 4x 
in second vessel = 5y and 3y
So 7x = 8y (given)   (eq. (1))
Pouring them together , new amounts will be 3x+5y and 4x+3y
so new ratio will be $$\frac{3x+5y}{4x+3y}$$  (eq. 2)
putting ratio of x and y from eq. (1) in eq. (2) and solving we will get new ratio as 59:53


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