SOLUTION: How many liters of a 8% salt solution must be mixed with 18 liters of a 32% salt solution to obtain a 20% salt solution
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Question 911511: How many liters of a 8% salt solution must be mixed with 18 liters of a 32% salt solution to obtain a 20% salt solution
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Shortcut
20 is the average of 8 and 32 so we need equal amounts of each.
We have 18 liter of 32% solution
We want to add some 8% solution to make 20% solution
0.08*x+0.32*18=0.2(18+x)
0.08*x+5.76=3.6+0.2x
0.08x-0.2x=3.6-5.76
-0.12x=-2.16
x=18 liter at 8% (1.44) is added to 18 liter at 32%(5.76) to make 20% of 36 liter(7.2)
check
0.08*18+0.32*18=0.2(18+18)
1.44+5.76=0.2(36)
7.2=7.2
ok
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