SOLUTION: A simple syrup used for ice cream toppings requires 2 cups of sugar and 2/3 cup of boiling water. How many cups of sugar are required for 2 cups of boiling water? Please show a st

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A simple syrup used for ice cream toppings requires 2 cups of sugar and 2/3 cup of boiling water. How many cups of sugar are required for 2 cups of boiling water? Please show a st      Log On


   

Question 908462: A simple syrup used for ice cream toppings requires 2 cups of sugar and 2/3 cup of boiling water. How many cups of sugar are required for 2 cups of boiling water?
Please show a step by step process.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
All the ingredients of the recipe
get increased by the same factor
Let +k+ = the factor of the increase
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For the boiling water:
+2+=+k%2A%28+2%2F3%29+
+k+=+%283%2F2%29%2A2+
+k+=+3+
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So, the sugar gets increased by
the factor +k+=+3+
+k%2A2+=+3%2A2+
+k%2A2+=+6+
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6 cups of sugar are needed