SOLUTION: How many ounces of a 35% alcohol solution must be mixed with 15 ounces of a 40% alcohol solution to make a 38% alcohol solution?
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Question 713286: How many ounces of a 35% alcohol solution must be mixed with 15 ounces of a 40% alcohol solution to make a 38% alcohol solution?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
That is an example of the general question:
How much of a higher concentration material must be mixed with some quantity of a lower concentration material to make a mixture of some intermediate value concentration?
L=35%, concentration of lower strength material
H=40%, concentration of higher strength matarial
T=38%, target concentration of mixture wanted
u= unknown, ounces of lower strength stuff to add
v=15 ounces, ounces of available higher strength stuff to be used.
The General Problem can be solved all in symbols:
, we solve for u, the only unknown here.
, knowing that those differences are actually both negative we can do
Now just substitute the given values to find u, the ounces of 35% alcohol.
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