SOLUTION: How do I set up a system of equations to solve this: How many gallons of a 20% lemon and sugar solution must be mixed with how many gallons of a 40% lemon and sugar solution to

Question 986264: How do I set up a system of equations to solve this:
How many gallons of a 20% lemon and sugar solution must be mixed with how many gallons of a 40% lemon and sugar solution to make 10 gallons of a 28% lemon and sugar solution?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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T=amount of 20% solution; F=amount of 40% solution
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T+F=10gallons
T=10gal-F Use this to substitute for T.
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(0.20)T+(0.40)F=(0.28)10gal Substitute for T from above, solve for F.
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