SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produ

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produ      Log On


   

Question 1125179: The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 240pints of a mixture that is 70% pure fruit juice
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x pints of 55%
240-x pints of 100%

%2855%2Ax%2B100%2A%28240-x%29%29%2F240=70
-
55x%2B100%2A240-100x=70%2A240
-45x=70%2A240-100%2A240
45x=30%2A240
x=%2830%2A240%29%2F%285%2A9%29
x=%285%2A6%2A3%2A80%29%2F%285%2A9%29=%286%2A3%2A80%29%2F%283%2A3%29=160

160 pints of the 55%
80 pints of the 100%