The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 95% 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 120 pints of a mixture that is 50% pure fruit juice?

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 45%  pure fruit juice, and the second type is 95%  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 120  pints of a mixture that is 50%  pure fruit juice?

kropot72 · Answer

Amount of pure fruit juice needed in 50% mixture = 120/2 = 60 pints
Let x = amount of 45% juice needed.
Then 120 - x = amount of 95% juice needed.
Therefore the quantities of 45% and 95% juice drinks needed to make 60 pints of pure juice are expressed in the following equation:
0.45x + 0.95(120 - x) = 60
Now you just need to solve to find x. Can you do that?

anonymous · Answer

i already got it, but thanks anyway :)

kropot72 · Answer

You're welcome.