SOLUTION: The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 80% pure fruit jui

Algebra ->  Linear-equations -> SOLUTION: The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 80% pure fruit jui      Log On


   



Question 1104797: The first type is
65%
pure fruit juice, and the second type is
90%
pure fruit juice. The company is attempting to produce a fruit drink that contains
80%
pure fruit juice. How many pints of each of the two existing types of drink must be used to make
110
pints of a mixture that is
80%
pure fruit juice?
drink 1:
drink 2:

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find out how much of the 65% we need to use and then calculate the amount of 90% to be used.:
0.65x + 0.9(110-x) = 110(0.8)
0.65x+99-0.9x = 88
-0.25x = -11
X = 44 this is the number of pints of juice at 65%
At 90%: 110-44 = 66 pints