SOLUTION: Help me please! Gabe Amodeo, a nuclear physicist needs 30 liters of a 40% acid solution. He currently has a 30% solution, and a 60% solution. How many liters of each does he ne

Question 770408: Help me please!
Gabe Amodeo, a nuclear physicist needs 30 liters of a 40% acid solution. He currently has a 30% solution, and a 60% solution. How many liters of each does he need to make the needed 30 liters of 40% acid solution?
Gabe needs __ liters of the 30% solution.
He also needs ___ liters of the 60% 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
= liters of acid in 30% solution
= liters of acid in 60% solution
----------------------------------
(1)
(2)
--------------------------
(2)
(2)
(2)
--------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
--------------
Gabe needs 20 liters of the 30% solution.
He also needs 10 liters of the 60% solution.
--------------
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK

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