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can you explain the process of arriving at 85.6?
Initial ratio of M and W is 8:7. After removing 10L, the ratio remains the same as there is no mixing happened at this stage. M = 90*(8/15) = 48, W = 90-48 = 42. When 20L of milk is added, M=68 W=42. Total solution = 110. Ratio of M = 68/110, W = 42/110. When 20L of solution is removed, again the same principle, ratio remains the same. M = 68*(110-20)/110 ~ 55.6. Finally, when 30L of M is added, then M = 55.6 + 30 = 85.6
Fastest way to solve the allegations and mixtures problems is to calculate the values at each stage instead of writing a lengthy algebraic equation towars the end and solving it. Principle applied in this specific question is the ratio remains the same when the fluid is taken off. Ratio only changes when something is added which changes the equilibrium equation of different fluids/components as part of the mixture.