# The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice,

May 12th, 2015
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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 45% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 40 pints of a mixture that is 45% pure fruit juice?

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Supposea = volume of 25% drink (pints)b = volume of 75% drink (pints)25a + 75b = 45*40 = 1800Supposea + b = 40a = 40 - b25a + 75b = 1800Substituting value for a25(40 - b) + 75b = 18001000 - 25b + 75b = 18001000 + 50b = 180050b = 800b = 16 pintsa = 24 pints

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