A recipe requires 5 cups of sugar for every 8 cups of flour. If a baker uses 24 cups of flour, the amount of sugar needed is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the concept of ratios to a real-world scenario. The problem involves setting up and solving a proportion to find the amount of sugar needed when the amount of flour is given.
Key Concept Explanation
Ratios are used to compare two quantities. In this case, the ratio of sugar to flour is 5:8. To find the amount of sugar needed for 24 cups of flour, we set up a proportion and solve for the unknown quantity.
Step-by-step Solution
1. Set up the proportion:
2. Cross-multiply to solve for :
3. Simplify the equation:
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