SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 50% pure fruit juice, and the second type is 75% pure fruit juice. The company is attempting to produc

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Question 687734: The Royal Fruit Company produces two types of fruit drinks. The first type is 50% pure fruit juice, and the second type is 75% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = pints of 50% pure fruit juice needed
Let = pints of 75% pure fruit juice needed
given:
(1)
(2)
----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
20 pints of 50% pure fruit juice are needed
30 pints of 75% pure fruit juice are needed
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK