SOLUTION: 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 produc

Question 1147232: 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 160 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 is pure fruit juice?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pints of 45% juice needed
Let = pints of 95% juice needed
-----------------------------------------------
(1)
(2)
-----------------------------------
(1)
(1)
and
(2)
(2)
(2)
--------------------------------
Multiply both sides of (2) by
and subtract (2) for (1)
(1)
(2)
--------------------------------

and
(2)
(2)
(2)
-----------------------
60 pints of 45% juice are needed
140 pints of 95% juice are needed
---------------------------------------------
check:
(1)
(1)
(1)
(1)
OK
get a 2nd opinion on this if needed
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