SOLUTION: An advertisement for grape drink claims that the drink contains 10% grape juice. How much pure grape juice would have to be added to 5 quarts of the drink to obtain a mixture conta

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: An advertisement for grape drink claims that the drink contains 10% grape juice. How much pure grape juice would have to be added to 5 quarts of the drink to obtain a mixture conta      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 237399: An advertisement for grape drink claims that the drink contains 10% grape juice. How much pure grape juice would have to be added to 5 quarts of the drink to obtain a mixture containing 40% grape juice?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
(quarts of pure grape juice at end)/(total quarts of drink at end) = 40%
given:
Let g = quarts of pure grape juice to be added
In 5 quarts of drink, I have
.1%2A5+=+.5 quarts pure grape juice
-----------------------------------------
%28.5+%2B+g%29+%2F+%285+%2B+g%29+=+.4
.5+%2B+g+=+.4%2A%285+%2B+g%29
.5+%2B+g+=+2+%2B+.4g
g+-+.4g+=+2+-+.5
.6g+=+1.5
g+=+2.5
2.5 quarts of pure grape drink must be added
check:
%28.5+%2B+g%29+%2F+%285+%2B+g%29+=+.4
%28.5+%2B+2.5%29+%2F+%285+%2B+2.5%29+=+.4
3%2F7.5+=+.4
3+=+.4%2A7.5
3+=+3
OK