SOLUTION: to produce 8 liters of a 90% alcohol solution by mixing together a 75% solution and a 95% solution how many liters of the 75% should be used

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Question 815528: to produce 8 liters of a 90% alcohol solution by mixing together a 75% solution and a 95% solution how many liters of the 75% should be used
Found 2 solutions by TimothyLamb, ewatrrr:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
w = volume of weak solution
s = volume of strong solution
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75w + 95s = 8*90
w + s = 8
s = 8 - w
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75w + 95s = 8*90
75w + 95s = 720
75w + 95(8 - w) = 720
75w + 760 - 95w = 720
20w = 40
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w = 2 liters
s = 6 liters
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

producing 8 liters of a 90% alcohol solution by mixing together a 75% solution and a 95% solution

 95x+%2B+75%288-x%29+=+90%2A8  |After multiplying thru by 100

         x = %288%2A90-75%2A8%29%2F20  solve for x and find (8-x):amount of 75% solution