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

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Question 422600: An advertisement for a grape juice claims that the drink contains 10 percent grape juice. How much pure grape juice would need to be added to 5 quarts of drink to obtain a mixture containing 40 percent grape juice
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
grape juice claims that the drink contains 10 percent grape juice.
How much pure grape juice would need to be added to 5 quarts of drink to obtain
a mixture containing 40 percent grape juice
:
Let x = amt of pure grape juice required to accomplish this
:
.10(5) + 1x = .40(x + 5)
.5 + x = .4x + 2
x - .4x = 2 - .5
.6x = 1.5
x = 1.5%2F.6
x = 2.5 qts of pure grape juice required
:
:
Confirm this solution
.1(5) + 2.5 + .4(2.5+5)
.5 + 2.5 = .4(7.5)
3 = 3, a good equation