SOLUTION: A chemistry experiment calls for a 40% scotch whiskey solution. If your pantry has only a 30% and a 100% solution of a 12 year old scotch, how much of each should be mixed to obtai

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Question 127343: A chemistry experiment calls for a 40% scotch whiskey solution. If your pantry has only a 30% and a 100% solution of a 12 year old scotch, how much of each should be mixed to obtain 14 liters of a 40% for your favorite drink.
Found 2 solutions by ankor@dixie-net.com, stanbon:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
A chemistry experiment calls for a 40% scotch whiskey solution. If your pantry has only a 30% and a 100% solution of a 12 year old scotch, how much of each should be mixed to obtain 14 liters of a 40% for your favorite drink.
:
Let x = 100% solution
The resulting amt is given as 14 liters, therefore:
(14-x) = 30% solution
:
a typical mixture equation:
;
1.0x + .30(14-x) = .40(14)
:
1x + 4.2 - .3x = 5.6
:
1x - .3x = 5.6 - 4.2
:
.7x = 1.4
x =
x = 2 liters of 100% solution
and
14 - 2 = 12 liters of 30% solution
:
:
Check solutions in original equation:
1(2) + .3(12) = .4(14)
2 + 3.6 = 5.6

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A chemistry experiment calls for a 40% scotch whiskey solution. If your pantry has only a 30% and a 100% solution of a 12 year old scotch, how much of each should be mixed to obtain 14 liters of a 40% for your favorite drink.
-----------
Let amount of 30% solution be "x" ; amt. of whiskey is 0.3x liters
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Amt of 100% solution is "14-x" liters ; amt of whiskey is "14-x"
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40% Mixture Data:
Amt = 14 liters ; Amt of whiskey is 0.40(14) = 5.6 liters
---------------
EQUATION:
whiskey + whiskey = whiskey
0.03x + 14-x = 5.6
-0.97x = -8.4
x = 8.6598 liters (amount of 30% solution in the mixture)
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Cheers,
San H.