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BMAT 2008 · Question 18 · Optimisation

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It is known that droplets of a certain chemical have a volume of 0.02 cm3 (rounded to the nearest 0.01 cm3).

What is the maximum number of droplets of the chemical that can be mixed with 10 cm3 of water (rounded to the nearest 10 cm3) if the resulting solution must not have more than 1 % of the chemical in?