SOLUTION: taylor is a chemist. she needs to prepare 32 ounces of a 12% hydrochloric acid solution. find the amount of a 16% solution and the amount of 8% solution she should mix to get this

Question 497608: taylor is a chemist. she needs to prepare 32 ounces of a 12% hydrochloric acid solution. find the amount of a 16% solution and the amount of 8% solution she should mix to get this
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 16% hydrochloric acid solution needed
Let = ounces of 8% hydrochloric acid solution needed
given:
(1)
(2)
------------------------
(2)
Multiply both sides of (2) by
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
16 ounces of 16% hydrochloric acid solution are needed
16 ounces of 8% hydrochloric acid solution are needed
--------------
check answer:
(2)
(2)
(2)
OK
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