SOLUTION: Gabe, a Nuclear Physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 li

Question 570856: Gabe, a Nuclear Physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 30% solution needed
Let = liters of 60% solution 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)
30 liters of 30% solution are needed
60 liters of 60% solution are needed
check:
(2)
(2)
(2)
(2)
(2)
OK
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