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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school is
- a)450
- b)250
- c)150
- d)350
Correct answer is option 'C'. Can you explain this answer?
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In a school with 600 students, the average of the boys is 12 years and...
Given:
- Total number of students in the school = 600
- Average age of boys = 12 years
- Average age of girls = 11 years
- Average age of the school = 11 years and 9 months
To find:
- Number of girls in the school
Let's assume the number of girls in the school is 'x'.
Calculating the average age of the school:
- The average age of the school is given as 11 years and 9 months.
- Converting 9 months into years, it is equal to 9/12 = 0.75 years.
- So, the average age of the school is 11 + 0.75 = 11.75 years.
Calculating the average age of all students:
- The average age of all students can be calculated by considering the average age of boys and girls.
- Total age of boys = Number of boys * Average age of boys = (600 - x) * 12
- Total age of girls = Number of girls * Average age of girls = x * 11
- Total age of all students = Total age of boys + Total age of girls = (600 - x) * 12 + x * 11
- Average age of all students = Total age of all students / Total number of students = [(600 - x) * 12 + x * 11] / 600
Setting up the equation:
- The average age of all students is given as 11.75 years.
- So, we have [(600 - x) * 12 + x * 11] / 600 = 11.75
Solving the equation:
- Multiplying both sides of the equation by 600 to eliminate the denominator, we get (600 - x) * 12 + x * 11 = 11.75 * 600
- Expanding the equation, we get 7200 - 12x + 11x = 7050
- Simplifying the equation, we get -x = -150
- Dividing both sides of the equation by -1, we get x = 150
Therefore, the number of girls in the school is 150. Hence, option C is the correct answer.
- Total number of students in the school = 600
- Average age of boys = 12 years
- Average age of girls = 11 years
- Average age of the school = 11 years and 9 months
To find:
- Number of girls in the school
Let's assume the number of girls in the school is 'x'.
Calculating the average age of the school:
- The average age of the school is given as 11 years and 9 months.
- Converting 9 months into years, it is equal to 9/12 = 0.75 years.
- So, the average age of the school is 11 + 0.75 = 11.75 years.
Calculating the average age of all students:
- The average age of all students can be calculated by considering the average age of boys and girls.
- Total age of boys = Number of boys * Average age of boys = (600 - x) * 12
- Total age of girls = Number of girls * Average age of girls = x * 11
- Total age of all students = Total age of boys + Total age of girls = (600 - x) * 12 + x * 11
- Average age of all students = Total age of all students / Total number of students = [(600 - x) * 12 + x * 11] / 600
Setting up the equation:
- The average age of all students is given as 11.75 years.
- So, we have [(600 - x) * 12 + x * 11] / 600 = 11.75
Solving the equation:
- Multiplying both sides of the equation by 600 to eliminate the denominator, we get (600 - x) * 12 + x * 11 = 11.75 * 600
- Expanding the equation, we get 7200 - 12x + 11x = 7050
- Simplifying the equation, we get -x = -150
- Dividing both sides of the equation by -1, we get x = 150
Therefore, the number of girls in the school is 150. Hence, option C is the correct answer.
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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer?
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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer?.
In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer?.
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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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