There are 18 female students and 12 male students in a class. 50% of the female students wear glasses. What percentage of the total students wear glasses?

ArithmeticPercentageWord ProblemRatio
2025/4/26

1. Problem Description

There are 18 female students and 12 male students in a class. 50% of the female students wear glasses. What percentage of the total students wear glasses?

2. Solution Steps

First, we need to find the number of female students who wear glasses. Since 50% of the 18 female students wear glasses, we can calculate this number as:
Number of female students who wear glasses=0.5018=9Number\ of\ female\ students\ who\ wear\ glasses = 0.50 * 18 = 9
Next, we need to find the total number of students in the class:
Total number of students=18 (female)+12 (male)=30Total\ number\ of\ students = 18\ (female) + 12\ (male) = 30
Then, we need to calculate the percentage of students who wear glasses out of the total number of students. Since only the female students who wear glasses are considered (and there are 9 of them), we can calculate the percentage as:
Percentage of students who wear glasses=Number of female students who wear glassesTotal number of students100Percentage\ of\ students\ who\ wear\ glasses = \frac{Number\ of\ female\ students\ who\ wear\ glasses}{Total\ number\ of\ students} * 100
Percentage of students who wear glasses=930100Percentage\ of\ students\ who\ wear\ glasses = \frac{9}{30} * 100
Percentage of students who wear glasses=0.3100=30Percentage\ of\ students\ who\ wear\ glasses = 0.3 * 100 = 30%

3. Final Answer

C. 30%

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