SOLUTION: If Drink A contains 97% sugar and Drink B contains 34% sugar. How much of each solution should be mixed in order to create 180 cups of a solution that contains 69% sugar?

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Question 1144085: If Drink A contains 97% sugar and Drink B contains 34% sugar. How much of each solution should be mixed in order to create 180 cups of a solution that contains 69% sugar?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If Drink A contains 97% sugar and Drink B contains 34% sugar. How much of each solution should be mixed in order to create 180 cups of a solution that contains 69% sugar?
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A + B = 180 ----- total mixture
97A + 34B = 180*69 ---- total sugar
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etc

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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If Drink A contains H% sugar and Drink B contains L% sugar. How much of each solution should be mixed in order to create M cups of a solution that contains T% sugar?
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a cups of drink A
M-a cups of drink B

Ha%2BL%28M-a%29=TM
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Ha%2BLM-La=TM
Ha-La%2BLM=TM
%28H-L%29a=TM-LM
a=%28TM-LM%29%2F%28H-L%29----------substitute your given values and evaluate a.