Question 197731: A juice drink manufacturer has found mixing pineapple juice concentrate and fresh squeezed orange juice is the most cost effective way to produce its breakfast beverage. The pineapple juice comes in two concentrated forms, 22% and 60% pineapple juice, which must be combined into a solution that can be mixed with the orange juice. If 60 gallons of 22% juice is used, how many gallons of the 60% juice must be used to obtain a 50% pineapple juice solution?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The pineapple juice comes in two concentrated forms, 22% and 60% pineapple juice, which must be combined into a solution that can be mixed with the orange juice. If 60 gallons of 22% juice is used, how many gallons of the 60% juice must be used to obtain a 50% pineapple juice solution?
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Equation:
pineapple + pineapple = pineapple
0.22*60 + 0.60x = 0.50(60+x)
22*60 + 60x = 50(60+x)
22*60 + 60x = 50*60 + 50x
10x = 28*60
x = 28*6
x = 168 gallons (amt. of 60% juice that must be added)
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Cheers,
Stan H.
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