SOLUTION: The royal fruit company produces two types of fruit drinks, the first type is 35% pure fruit juice and the second type is 75% pure fruit juice. the company is attempting to produce

Question 1008717: The royal fruit company produces two types of fruit drinks, the first type is 35% pure fruit juice and the second type is 75% pure fruit juice. the company is attempting to produce a fruit drink that contains 50% 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 contains 50% pure fruit juice
first type =
second type =

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
First type: x
Second type: y
x+y = 80 Subtract x from both sides:
y= 80 - x
-------------------------
.35x+.75y = 80(.5) Let's replace the value of y with the value above:
.35x+.75(80-x)= 80(.5) Multiply:
.35x+ 60-.75x = 40 Subtract x on left and 60 on both sides:
-.40x = -20 Now divide both sides by -.40, and remember that -/- = +:
x= 50
You need 50 pints of the first type (35% pure) and:
80 - 50 = 30 pints of the second type (75% pure)
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