ACT (Enhanced)MathematicsMedium
A chef is adjusting a recipe for a large catering event. The original recipe calls for 2.5 cups of flour and yields 12 servings. If the chef needs to prepare 30 servings, how many cups of flour will be required?
- A7.5 cups
- B8 cups
- C6.25 cups
- D5 cups
Show answer & explanationAnswer & explanation
Correct answer: C. 6.25 cups
First, find the scaling factor: 30 servings / 12 servings = 2.5. Then, multiply the original amount of flour by this factor: 2.5 cups * 2.5 = 6.25 cups.
Why the other options are wrong
- A. This would be if the scaling factor was 3, or a miscalculation.
- B. This is an arbitrary incorrect calculation.
- D. This is simply doubling the flour for more than double the servings.
Proportional Scaling
Adjusting ingredient quantities or other values proportionally based on a change in output or scale.
- Involves setting up a ratio or finding a scaling factor.
- Used extensively in recipes, engineering, and design.
- Assumes a direct linear relationship.
Memory trick: Scale Up: Find the ratio, multiply by the original!