SOLUTION: You create a recipe for slime mixing some 20% pure slime and some 80% pure slime to create 1000 gallons of 65% pure slime mixture. How many gallons of the 20% mixture are needed?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You create a recipe for slime mixing some 20% pure slime and some 80% pure slime to create 1000 gallons of 65% pure slime mixture. How many gallons of the 20% mixture are needed?      Log On

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Question 1070952: You create a recipe for slime mixing some 20% pure slime and some 80% pure slime to create 1000 gallons of 65% pure slime mixture. How many gallons of the 20% mixture are needed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Pure slime? Not a recipe. A recipe is something you eat. Otherwise, it's a formula.

x gallons of the 20% slime
1000-x gallons of the 80% slime

%2820x%2B80%281000-x%29%29%2F1000=65

%282x%2B8%281000-x%29%29%2F100=65

x%2B4%281000-x%29=50%2A65

x%2B4000-4x=3250
-3x=3250-4000
3x=4000-3250
highlight%28x=250%2Agallons%29-------for the 20% slime, which leaves 750 gallons for the 80% slime.