SOLUTION: I have no idea how to answer this: A fruit punch that is 40% alcohol is mixed with a fruit punch that is 30% alcohol. How many gallons of each punch are used to make 5 gallons

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Question 727844: I have no idea how to answer this:
A fruit punch that is 40% alcohol is mixed with a fruit punch that is 30% alcohol. How many gallons of each punch are used to make 5 gallons of punch that is 36% alcohol?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Mixing two different punches to get a mixture of a given resulting quantity, needs two unknown variables.

m for gallons of 30% alcohol punch
n for gallons of 40% alcohol punch
highlight%28%2830m%2B40n%29%2F5=36%29
AND
highlight%28m%2Bn=5%29
Solve for m and n.