SOLUTION: How many ounces of a 17% alcohol solution and a 40% alcohol solution must be combined to obtain 46 ounces of a 32% solution?

Question 1030124: How many ounces of a 17% alcohol solution and a 40% alcohol solution must be combined to obtain 46 ounces of a 32% solution?
Found 2 solutions by josmiceli, robertb:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 17% alcohol solution needed
Let = ounces of 40% alcohol solution needed
---------------------
(1)
(2)
----------------------------
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
------------------------

and
(1)
(1)
16 ounces of 17% alcohol solution are needed
30 ounces of 40% alcohol solution are needed
----------------
check:
(2)
(2)
(2)
(2)
(2)
OK
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = # ounces of 17% alcohol solution.
==> 0.17x + 0.40(46-x) = 0.32*46
<==> 0.17x + 18.4 - 0.40x = 14.72
==> 3.68 = 0.23x ==> x = 16 ounces of 17% alcohol solution, and
46 - x = 30 ounces of the 40% alcohol solution.
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