Answered

The information in the table is the result of a survey rating the food in the school cafeteria.




\multicolumn{2}{|c|}{How do you rate the school cafeteria?}

Excellent		5\%

Good		15\%

Fair		55\%

Poor		25\%






If 1,200 students participated in the survey, how many rated the cafeteria food "poor"?


A200 students
B300 students
C400 students
D600 students

Verified Answer :

  • Identify the total number of students: \(1,200\).
  • Identify the percentage of "Poor" ratings: \(25\% = \frac{25}{100} = \frac{1}{4}\).
  • Calculate the number of students: \(\frac{1}{4} \times 1,200 = 300\).
  • Final answer: \(\boxed{300}\).

Explanation

  1. Problem Analysis

The total number of students who participated in the survey is 1,200. We are given the percentage distribution of the ratings, where the "Poor" rating accounts for 25% of the total responses. To find the actual number of students who rated the cafeteria food as "Poor," we need to calculate 25% of the total number of students.

  1. Calculation of "Poor" Ratings

We express the percentage as a fraction to simplify the calculation: 25% is equivalent to \(\frac{25}{100} = \frac{1}{4}\). The total number of students is 1,200. Therefore, the number of students who gave a "Poor" rating is \(\frac{1}{4} \times 1,200\). Dividing 1,200 by 4 gives us the result: \(\frac{1,200}{4} = 300\).

  1. Conclusion

Based on the calculation, 300 students rated the school cafeteria food as "Poor." Comparing this result to the given options, we confirm that 300 is the correct value. Thus, the number of students who rated the cafeteria food "poor" is \(\boxed{300}\).

Examples

Understanding how to calculate percentages from a total population is a vital real-life skill. For example, if a store wants to determine how many customers purchased a specific item during a sale out of 2,000 visitors, they can multiply the total number of visitors by the percentage of customers who bought the item. Similarly, this method is used in data analysis to interpret survey results, project trends, or make informed decisions based on representative samples of a population.

Related Questions