Question 629386: How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 9 gallons of 35% alcohol solution ?
How much of each solution is used, 30% and 45% ?
I really do not understand how to work this problem out, I'm confused and my answers don't make sence.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 9 gallons of 35% alcohol solution ?
How much of each solution is used, 30% and 45% ?
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t = amt of 30%
f = amt of 45%
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t + f = 9 (total solution)
30*t + 45*f = 35*9 (total alcohol)
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t = 9 - f
30*t + 45*f = 35*9
Sub for t
30*(9-f) + 45*f = 35*9
Solve for f, then solve for t
Can you finish it?
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