SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 75% pure fruit juice.The company is attempting to produce

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 75% pure fruit juice.The company is attempting to produce      Log On


   

Question 613430: The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 75% 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 100 pints of a mixture that is 35% pure fruit juice?

Answer by lwsshak3(11628) About Me  (Show Source):
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The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 75% 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 100 pints of a mixture that is 35% pure fruit juice?
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let x=pints of 25% pure fruit juice
100-x=pints of 75% pure fruit juice
25%x+75%(100-x)=35%(100)
.25x+75-.75x=35
.5x=40x
x=80
100-x=20
ans:
pints of 25% pure fruit juice used=80
pints of 75% pure fruit juice used=20