milk and water related question

Question

a quantity of 60% and 37.5% milk solution from two vessels A and B whose capacities are in the ratio 5:8 are poured into third vessel C. what is the concentration in vessel A if the ratios of milk and water in B and C are in the ratio 5:3 and 171:69 respectively?

Answer 1

A is 3:/5 m = 60% m/w = 3/2 ratio

B is 5/8 m/w which is 61 1/4% milk, but originally was 37.5% = 3/8 milk = 3/5 m/w

C is 171/69 m/w which is 171/240 milk = 57/80 milk = 63 3/4% milk

this is impossible, as mixing 60% with 61 1/4% can't make 63 3/4%

same with mixing 60% with 37 1/2% can't get 63 3/4%

mix an equal amount of A with B to get 63 3/4% means A was 66 1/4% milk, not 60%