SOLUTION: A brand of grape drink that is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of grape drink that is 35% grape juice. How much of the

Question 99017: A brand of grape drink that is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of grape drink that is 35% grape juice. How much of the brand that is 25% grape juice was used? What are the steps to determine the answer?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A brand of grape drink that is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of grape drink that is 35% grape juice. How much of the brand that is 25% grape juice was used? What are the steps to determine the answer?
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Comment: grape drink is made up of grape juice and water. You need to
keep track of the grape juice or the water in each of the solutions.
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25% grape juice DATA:
Amount = x gallons ; Amt of grape in it is 0.25x gallons
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75% grape juice DATA:
Amount = "7-x" gallons; Amt of grape in it is 0.75(7-x) = 5.25-0.75x gallons
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35% mixture DATA:
Amount = 7 gallons: amt of grape is 0.35*7 = 2.45 gallons
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EQUATION:
grape + grape = grape
0.25x + 5.25-0.75x = 2.45
-0.50x = -2.8
x = 5.6 gallons (amount of 25% grape juice that must be added)
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Cheers,
Stan H.
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