SOLUTION: Sean wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 30% lemon juice and 70% lime juice to make 7 gal

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Question 930859: Sean wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 30% lemon juice and 70% lime juice to make 7 gallons of the 50% lemon/50% lime juice mixture? I got an answer of 1gallon but my teacher said it was 2gallons.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sean wants to make a mixture that is 50% lemon juice and 50% lime juice.
How much 100% lemon juice should he add to a juice that is 30% lemon juice and 70% lime juice to make 7 gallons of the 50% lemon/50% lime juice mixture?
:
Write an equation based on the amt of lemon
let x = amt of pure lemon
x + .3(7-x) = .5(7)
x + 2.1 - .3x = 3.5
x - .3x = 3.5 - 2.1
.7x = 1.4
x = 1.4/.7
x = 2 gallons