Numerical answer
A vessel contains 80 litres of pure milk. 16 litres are drawn out and replaced with water. This operation is performed three times in all. How many litres of milk remain in the vessel at the end?
Show answer and solution
Answer: 40.96
Each operation keeps (80 − 16)/80 = 4/5 of the milk present.
Milk left after 3 operations = 80 × (4/5)³ = 80 × 64/125 = 40.96 litres.
Tip: the replacement formula is Final = Initial × (1 − x/V)ⁿ, where x litres are removed from a volume V each time.
Milk left after 3 operations = 80 × (4/5)³ = 80 × 64/125 = 40.96 litres.
Tip: the replacement formula is Final = Initial × (1 − x/V)ⁿ, where x litres are removed from a volume V each time.
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