SOLUTION: I have a 17% salicylic acid solution that I have to mix with alcohol to make a 2% solution to use as a face toner. The alcohol bottle I have is 473 mL total. What amount of each do

Question 740906: I have a 17% salicylic acid solution that I have to mix with alcohol to make a 2% solution to use as a face toner. The alcohol bottle I have is 473 mL total. What amount of each do I have to use to get the 2%?
Thanks!
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ml of 17% solution needed
Let = ml of alcohol needed
= ml of salicylic acid in 17% solution
-----------------
(1)
(2)
----------------------
(2)
(2)
(2)
and, since
(1)
(1)
(1)
55.647 ml of 17% solution is needed
417.353 ml of alcohol is needed
check:
(2)
(2)
(2)
(2)
(2)
OK

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
(Amount of salicylic acid)/(amount of solution)=concentration of salicylic acid

Let v = volume of salicylic acid to use.
Let r = volume of the alcohol to use.
volumes are in milliliters.

and
Solve for v and r.
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