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In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.
- a)35%
- b)50%
- c)40%
- d)80%
Correct answer is option 'C'. Can you explain this answer?
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In a class, the average score of girls in an examination is 73 and tha...
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In a class, the average score of girls in an examination is 73 and tha...
Given information:
- Average score of girls in the examination = 73
- Average score of boys in the examination = 71
- Average score of the whole class = 71.8
To find:
- Percentage of girls in the class
Solution:
Let's assume that there are 'g' girls and 'b' boys in the class.
We know that the average score of girls in the examination is 73, so the total score of all the girls would be:
Total score of girls = 73g
Similarly, the total score of boys would be:
Total score of boys = 71b
The average score of the whole class is given as 71.8, so the total score of the whole class would be:
Total score of the class = 71.8(g + b)
We can now use these equations to find the ratio of girls to boys in the class.
Total score of girls + Total score of boys = Total score of the class
73g + 71b = 71.8(g + b)
Expanding the equation, we get:
73g + 71b = 71.8g + 71.8b
1.2g = 0.8b
g/b = 2/3
This means that out of every 5 students in the class, 2 are girls and 3 are boys.
Now, to find the percentage of girls in the class, we can use the formula:
Percentage of girls = (Number of girls / Total number of students) x 100
Number of girls = (2/5) x Total number of students (since there are 2 girls for every 5 students)
Number of boys = (3/5) x Total number of students
Substituting these values in the formula, we get:
Percentage of girls = (2/5) x 100
Percentage of girls = 40%
Therefore, the percentage of girls in the class is 40%, which is option (c).
- Average score of girls in the examination = 73
- Average score of boys in the examination = 71
- Average score of the whole class = 71.8
To find:
- Percentage of girls in the class
Solution:
Let's assume that there are 'g' girls and 'b' boys in the class.
We know that the average score of girls in the examination is 73, so the total score of all the girls would be:
Total score of girls = 73g
Similarly, the total score of boys would be:
Total score of boys = 71b
The average score of the whole class is given as 71.8, so the total score of the whole class would be:
Total score of the class = 71.8(g + b)
We can now use these equations to find the ratio of girls to boys in the class.
Total score of girls + Total score of boys = Total score of the class
73g + 71b = 71.8(g + b)
Expanding the equation, we get:
73g + 71b = 71.8g + 71.8b
1.2g = 0.8b
g/b = 2/3
This means that out of every 5 students in the class, 2 are girls and 3 are boys.
Now, to find the percentage of girls in the class, we can use the formula:
Percentage of girls = (Number of girls / Total number of students) x 100
Number of girls = (2/5) x Total number of students (since there are 2 girls for every 5 students)
Number of boys = (3/5) x Total number of students
Substituting these values in the formula, we get:
Percentage of girls = (2/5) x 100
Percentage of girls = 40%
Therefore, the percentage of girls in the class is 40%, which is option (c).
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In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer?
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In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer?.
In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer?.
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In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In a class, the average score of girls in an examination is 73 and that of boys is 71. The average for the whole class is 71.8. Find the percentage of girls.a)35%b)50%c)40%d)80%Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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