SOLUTION: A CHEMIST NEEDS TO MIX AN 18% ACID SOLUTION WITH A 45% ACID SOLUTION TO OBTAIN 12 GALLONS OF A 36% ACID SOLUTION. HOW MANY GALLONS OF EACH OF THE ACID SOLUTIONS MUST HE USE?

Question 658021: A CHEMIST NEEDS TO MIX AN 18% ACID SOLUTION WITH A 45% ACID SOLUTION TO OBTAIN 12 GALLONS OF A 36% ACID SOLUTION. HOW MANY GALLONS OF EACH OF THE ACID SOLUTIONS MUST HE USE?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 18% solution needed
Let = gallons of 45% 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)
-------------
4 gallons of 18% solution are needed
8 gallons of 45% solution are needed
check:
(2)
(2)
(2)
(2)
OK
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