SOLUTION: Water and grape juice concentrate were mixed in a ratio of 5 to 3 to make grape juice. After 14 cups of grape concentrate was added, the amount of water and grape concentrate was

Question 631627: Water and grape juice concentrate were mixed in a ratio of 5 to 3 to make grape juice. After 14 cups of grape concentrate was added, the amount of water and grape concentrate was equal. How much grape juice was originally in the mixture?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = cups of grape juice in original mixture
Let = cups of water in original mixture
given:
(1)
(2)
---------------
Substitute (2) into (1)
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
-------------
21 cups of grape juice was in the original mixture
check:
(1)
(1)
(1)
OK
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