Question
A vessel contains 300 litres of milk. Each time, x
litres of the mixture are replaced with water, and this is done three times. If finally the vessel has 97.65 litres of water, calculate x.Solution
300 × (1 – x/300)³ = 300 – 97.65 300 × ((300 – x)/300)³ = 202.35 ((300 – x)/300)³ = 202.35/300 ((300 – x)/300)³ = 673/1000 ((300 – x)/300)³ = (0.88)³ (300 – x) = 0.88 × 300 300 – x = 264 x = 36
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