SOLUTION: Word problem: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specif

Question 310081: Word problem:
Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
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 mixture in order to fill the drum?
I'm having difficulty writing equations from a word problem. Please show me the equations you created and steps to get to the answer. Please also show the answer. Thank you so much!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 100% antifreeze he needs
Let = gallons of 10% antifreeze mixture he needs
given:
= gallons of mixture he ends up with
= antifreeze in final mixture
--------------
In words:
(total gallons of antifreeze in final mixture)/(total gallons of final mixture) = 20%

Solve these equations for and .
Your answer will be

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