SOLUTION: One drink contains 5% fruit juice and another contains 50% fruit juice. How many gallons of each type should be combined to make 5 gallons of a drink that contains 40% fruit juice?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One drink contains 5% fruit juice and another contains 50% fruit juice. How many gallons of each type should be combined to make 5 gallons of a drink that contains 40% fruit juice?      Log On


   

Question 1129789: One drink contains 5% fruit juice and another contains 50% fruit juice. How many gallons of each type should be combined to make 5 gallons of a drink that contains 40% fruit juice?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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One drink contains L% fruit juice and another contains H% fruit juice. How many gallons of each type should be combined to make M gallons of a drink that contains T% fruit juice?
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x, the gallons of the H% fruit juice
M-x, the gallon of the L% fruit juice
L%3CH

%28Hx%2BL%28M-x%29%29%2FM=T

Hx%2BLM-Lx=TM

%28H-L%29x%2BLM=TM

%28H-L%29x=TM-LM

highlight%28x=%28TM-LM%29%2F%28H-L%29%29

Find the value for x by substituting the given values:
system%28L=5%2CH=50%2CT=40%2CM=5%29