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Trivial Math Problem

Hi guys! I need a bit of help please for this question.

It is known that droplets of a certain chemical have a volume of 0.02cm3 (rounded to the nearest 0.01cm3).
What is the maximum number of droplets of the chemical that can be mixed with 10cm3 of water(rounded to the nearest 10cm3) if the resulting solution must not have more than 1 % of the chemical in?

So the maximum drops occurs with the minimum drop value with the maximum water volume. Hence the volume of chemical is 0.015cm3 and the maximum volume of water is 15cm3.
1 percent of 15cm3 is 0.15 cm3. Hence 0.15/0.015=10, so it's 10 drops, but teh answer is 2, so where am I going wrong?

Thanks guys! :biggrin:
Original post by ΘTheta
Hi guys! I need a bit of help please for this question.

It is known that droplets of a certain chemical have a volume of 0.02cm3 (rounded to the nearest 0.01cm3).
What is the maximum number of droplets of the chemical that can be mixed with 10cm3 of water(rounded to the nearest 10cm3) if the resulting solution must not have more than 1 % of the chemical in?

So the maximum drops occurs with the minimum drop value with the maximum water volume. Hence the volume of chemical is 0.015cm3 and the maximum volume of water is 15cm3.
1 percent of 15cm3 is 0.15 cm3. Hence 0.15/0.015=10, so it's 10 drops, but teh answer is 2, so where am I going wrong?

Thanks guys! :biggrin:


I also get 10
99n<10000
Reply 2
Original post by TenOfThem
I also get 10
99n<10000

Why do you think this could be?

When you use the maximum chemcial volume (i.e. 0.025cm3) with the minimum water volume (i.e.5cm3) you only get 2 drops.
Hmmm....
What do you think?
Original post by ΘTheta
Why do you think this could be?

When you use the maximum chemcial volume (i.e. 0.025cm3) with the minimum water volume (i.e.5cm3) you only get 2 drops.
Hmmm....
What do you think?


hmmmmm

Perhaps we have not guaranteed less than 1%
Reply 4
Original post by TenOfThem
hmmmmm

Perhaps we have not guaranteed less than 1%

Well if the volume of 15cm3 was used, with the 10 drops at 0.015cm3, 10*0.015=0.15cm3. 0.15+15=15.15cm3
Hence (0.15/15.15)*100=0.9900990099%, less than the required 1%.
So it seems like less than 1% has been guaranteed.

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