SOLUTION: Diluting wine. A restuarant manager has 2 liters of white wine that is 12% alcohol. How many liters of white grape juice should be added to get a drink that is 10 % alcohol?

Question 100212: Diluting wine.
A restuarant manager has 2 liters of white wine that is 12% alcohol. How many liters of white grape juice should be added to get a drink that is 10 % alcohol?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=number of liters of white grape juice that needs to be added
(1) The pure alcohol in the 2 liters of 12% alcohol is (0.12*2).
(2) The pure alcohol in the white grape juice is (0).
(3) The pure alcohol in the final mixture is (0.10(2+x))
Now we know that (1)+(2)=(3). So our equation to solve is:
0.12*2=0.10(2+x) get rid of parens and simplify
0.24=0.20+0.10x subtract 0.20 from both sides
0.24-0.20=0.10x collect like terms
0.04=0.10x divide both sides by 0.10
x=0.4 liter---number of liters of white grape juice that needs to be added
CK
0.12*2=0.10*2.4
0.24=0.24

Hope this helps---ptaylor

RELATED QUESTIONS
A restaurant manager has 2 liters of white wine that is 12% alcohol. How many liters of... (answered by ankor@dixie-net.com)

2 liters of white wine that is 12% alcohol. How many liters of white grape juice should... (answered by stanbon)

a chef mixes 5 liters of a wine that is 12% alcohol by volume with 2 liters of a wine... (answered by ewatrrr)

a bottle of wine has 8% alcohol, another has 15% alcohol. How much of each must be mixed... (answered by Alan3354,josgarithmetic)

A CONTAINER IS FILLED WITH 5 BOTTLES OF WHITE WINE, 3 BOTTLES OF RED WINE AND 1 BOTTLE OF (answered by Theo)

a certain wine is 12% alcohol by volume. If a bottle contains 750 milliliters of wine,... (answered by edjones)

A certain wine is 12% alcohol by volume. If a bottle contains 750 milliliters of wine,... (answered by stanbon)

Please help me solve this percentage mixture problem... how many percent(%) alcohol... (answered by CharlesG2)

Please help me solve this word problem about mixtures: {{{ how many % alcohol should a... (answered by ankor@dixie-net.com)