SOLUTION: A garage owner wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for his customers. How many gallons of 100% antifreeze should he mix with some 10% antifreeze

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Question 260650: A garage owner wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for his customers. How many gallons of 100% antifreeze should he mix with some 10% antifreeze mixtures in order to fill the drum?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let A be the amount of 100% antifreeze and B be the amount of 10% antifreeze.
1.
.
.

2.
From eq. 1,

Substitute into eq. 2,





Then from eq. 1,


Use 55/9 gallons of 100% antifreeze and 440/9 gallons of 10% antifreeze.

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