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 t

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Question 991103: 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
60%
pure fruit juice. How many pints of each of the two existing types of drink must be used to make
40
pints of a mixture that is
60%
pure fruit juice?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = pints of the 35% mixture needed
Let = pints of the 75% mixture needed
----------------
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
------------------------


and
(1)
(1)
-----------------
15 pints of the 35% mixture are needed
25 pints of the 75% mixture are needed
----------------
check:
(2)
(2)
You can finish this check

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