SOLUTION: how much water should be added to 28 milliliters of 17% alcohol solution to reduce the concentration to 14%?

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Question 958871: how much water should be added to 28 milliliters of 17% alcohol solution to reduce the concentration to 14%?
Found 2 solutions by lwsshak3, Edwin McCravy:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
how much water should be added to 28 milliliters of 17% alcohol solution to reduce the concentration to 14%?
***
let x=amt of water to add
17%*28=14%(28+x)
4.76=3.92+.14x
.14x=0.84
x=6
amt of water to add= 6 milliliters

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
how much water should be added to 28 milliliters of 17% alcohol solution to reduce the concentration to 14%?
In the beginning, 17% of the 28 milliliters of liquid, which is 4.76
milliliters, is pure alcohol.  The rest is water.

Then we add x milliliters of water.

Now we have 28+x milliliters of liquid of which the 4.76 milliliters 
of pure ancohol is now only 14% of.  So,

The 4.76 ml. of pure alcohol = 14% of the 28+x milliliters of liquid.

   4.76 = .14(28 + x)

Solve that and get x=6 as the number of milliliters of water to add.

Edwin


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