SOLUTION: Solve this application problem using a system of equations: The owner of Jeremy’s Garage wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for is customers.

Question 1157655: Solve this application problem using a system of equations: The owner of Jeremy’s Garage
wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for is customers. How
many gallons of 100% antifreeze should he mix with some 12% antifreeze mixture in order to
fill the drum?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 100% antifreeze needed
Let = gallons of 12% antifreeze needed
-----------------------------------------------------
The amount of pure antifreeze the owner ends up with will be:
gallons
is also the amount of pure antifreeze owner
ends up with
-----------------------
(1)
(2)
----------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------------

and
(1)
(1)
(1)
-------------------------------
5 gallons of 100% antifreeze are needed
-------------------------------
check:
(2)
(2)
(2)
(2)
OK

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