A recipe calls for cups of sugar to make 20 cookies. How many cups of sugar are needed to make 100 cookies? The amount of sugar needed is ________ cups.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to apply cross-multiplication to a real-world problem involving scaling a recipe. The given proportion is .
Key Concept Explanation
Cross-multiplication is a method to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal: , so .
Step-by-step Solution
1. Set up the proportion:
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