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.
(