A recipe requires 7 cups of sugar for every 10 cups of flour. If a baker uses 40 cups of flour, the amount of sugar needed is _______ cups.
Answer & Analysis
Analysis
Question Analysis
This question tests the application of ratios in a real-world context, specifically in a recipe. The student must use the given ratio to find the required amount of sugar when the amount of flour is known.
Key Concept Explanation
The key concept here is understanding and applying proportional relationships. The ratio of sugar to flour is given, and the student needs to set up and solve a proportion to find the unknown quantity.
Step-by-step Solution
1. Identify the given ratio of sugar to flour:
2. Set up the proportion with the known amount of flour (40 cups):
3. Cross-multiply to solve for :
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