SOLUTION: How many ounces of a 31% alcohol solution and a 41% alcohol solution must be combined to form 40 ounces of a 40% alcohol solution?
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Question 871590: How many ounces of a 31% alcohol solution and a 41% alcohol solution must be combined to form 40 ounces of a 40% alcohol solution?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 31% solution needed
Let = ounces of 41% solution needed
--------------------------------------
(1)
(2)
------------------------------
(2)
(2)
------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
----------------
4 ounces of 31% solution are needed
36 ounces of 41% solution are needed
---------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK
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