SOLUTION: how many gallons of a 60% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 50% antifreeze? use the six step method

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Question 703781: how many gallons of a 60% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 50% antifreeze? use the six step method
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What is the "Six Step Method"?

Goal is (MainIngredient)/(TotalMixture)=0.50

You do not know how much total mixture will result but you know you start with 90 gallons and that its percentage concentration is 15%, or 0.15 as fraction. You have available a higher concentration material of 60%, or 0.60 as a fraction.

%2890%2A0.15%2Bv%2A0.60%29%2F%2890%2Bv%29=0.50

Where the only variable, v, is the gallons of the 60% antifreeze to add.