SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 50% pure fruit juice. The company is attempting to produc

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Question 1025656: The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 50% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 35% pure fruit juice?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 50% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 35% pure fruit juice?
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Quantity:: t + f = 80 pints
Juice ::: 25t + 50f = 35*80
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Modify::
5t + 5f = 5*80
5t + 10f = 7*80
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Subtract and solve for "f"::
5f = 2*80
f = 32 pints (amt. of 50% needed)
t = 80-32 = 48 pints (amt. of 25% needed)
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Cheers,
Stan H.
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