SOLUTION: You have 30 cups of a drink that contains 58% sugar. How many cups of a drink containing 37% sugar needs to be added in order to have a final drink that is 55% sugar?

Question 1132015: You have 30 cups of a drink that contains 58% sugar. How many cups of a drink containing 37% sugar needs to be added in order to have a final drink that is 55% sugar?
Found 2 solutions by Alan3354, addingup:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
You have 30 cups of a drink that contains 58% sugar. How many cups of a drink containing 37% sugar needs to be added in order to have a final drink that is 55% sugar?
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30*58 + C*37 = (30+C)*55

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Total 30 cups
Some at 58%, I'll call this "x"
the rest up to 30 cups are at 37%
You want the final mix to be at 55%
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0.58x + 0.37(30 - x) = 0.55(30)
0.58x + 11.1 - 0.37x = 16.5
0.21x = 5.4
x = 5.4/0.21 Divide to get your answer. Round to the nearest 2 decimals unless you were given other instructions

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