Question
Mrs. Johnson asked her 30 students what they want to have for lunch. Ten students voted for hamburgers and 20 for nuggets. Based on the results, if there are 120 students, how many nugget meals will she order? A 80 nugget meals B 40 nugget meals C 60 nugget meals
Ask by Pope Rogers. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Mrs. Johnson should order 80 nugget meals for 120 students.
**Answer:**
A) 80 nugget meals
Solution
To determine how many nugget meals Mrs. Johnson should order for 120 students based on the survey results, follow these steps:
1. **Understand the Survey Results:**
- **Total students surveyed:** 30
- **Students who chose nuggets:** 20
2. **Determine the Proportion:**
- The ratio of students who prefer nuggets is \( \frac{20}{30} \).
3. **Apply the Proportion to 120 Students:**
- Let \( x \) be the number of nugget meals for 120 students.
- Set up the proportion:
\[
\frac{20}{30} = \frac{x}{120}
\]
- Solve for \( x \):
\[
x = \frac{20}{30} \times 120 = \frac{2}{3} \times 120 = 80
\]
4. **Conclusion:**
- Mrs. Johnson should order **80 nugget meals** for 120 students.
**Answer:**
**A) 80 nugget meals**
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Simplify this solution Beyond the Answer
In a classroom of 30 students, if 20 voted for nuggets, that means about 66.67% favored nuggets. If Mrs. Johnson has 120 students, we can use this percentage to estimate how many will want nuggets. Mathematically, \(0.6667 \times 120 = 80\) nugget meals, aligning with option A. This scenario illustrates how gathering opinions can influence large-group decisions, especially in settings like schools, where diverse tastes should be considered. Engaging students in these choices not only makes them feel valued but also teaches them about democratic processes!
