SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produc

Question 815425: The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 170 pints of a mixture that is 55% pure fruit juice?

Thank you for your time and help!
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
a = volume of 45% drink (pints)
b = volume of 70% drink (pints)
45a + 70b = 55*170 = 9350
a + b = 170
a = 170 - b
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45a + 70b = 9350
45(170 - b) + 70b = 9350
7650 - 45b + 70b = 9350
7650 + 25b = 9350
25b = 1700
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b = 68 pints
a = 102 pints
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