How do I use The Elimination Method on this word problem? :)

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A pharmacist has a 10% alcohol solution and a 25% alcohol solution. How many milliliters of each solution will she need in order to have 200 mL of a 20% alcohol solution?

Oct 22nd, 2017

Assuming the volume of the alcohol solution is addable, and x ml 10% alcohol solution is needed,

Then

10% x + 25% (200-x) = 20% * 200

10x + 25 *200-25x=20*200

15x=25*200-20*200=5*200=1000

x=67ml

So 67ml  10% alcohol solution is needed, and 200-67=133ml 25% alcohol solution is needed.

Nov 26th, 2014

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Oct 22nd, 2017
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Oct 22nd, 2017
Oct 22nd, 2017
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