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In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?
- a)197/231
- b)177/231
- c)197/242
- d)177/242
Correct answer is option 'A'. Can you explain this answer?
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In class 3/7 of the students are girls and rest are boys. If 2/9 of th...
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In class 3/7 of the students are girls and rest are boys. If 2/9 of th...
Understanding the Problem
To solve the problem, we need to determine the fraction of students present in class after accounting for absentees among both girls and boys.
Step 1: Identify Total Students
- Let the total number of students be represented as 'x'.
- According to the problem, 3/7 of the students are girls, meaning:
- Number of girls = (3/7)x
- Number of boys = x - (3/7)x = (4/7)x
Step 2: Calculate Absent Students
- Absent girls: 2/9 of the girls
- Absent girls = (2/9) * (3/7)x = (6/63)x = (2/21)x
- Absent boys: 1/11 of the boys
- Absent boys = (1/11) * (4/7)x = (4/77)x
Step 3: Calculate Present Students
- Present girls = Total girls - Absent girls
- Present girls = (3/7)x - (2/21)x
- To subtract, convert (3/7) to a common denominator:
- (3/7) = (9/21)
- Present girls = (9/21)x - (2/21)x = (7/21)x = (1/3)x
- Present boys = Total boys - Absent boys
- Present boys = (4/7)x - (4/77)x
- Convert (4/7) to a common denominator:
- (4/7) = (44/77)
- Present boys = (44/77)x - (4/77)x = (40/77)x
Step 4: Total Present Students
- Total present students = Present girls + Present boys
- Total present = (1/3)x + (40/77)x
- Convert to a common denominator (231):
- (1/3) = (77/231) and (40/77) = (120/231)
- Total present = (77/231)x + (120/231)x = (197/231)x
Step 5: Calculate the Fraction of Present Students
- Fraction of total students present = Total present / Total students
- = (197/231)x / x = 197/231
Thus, the final answer is 197/231, confirming that option (a) is correct.
To solve the problem, we need to determine the fraction of students present in class after accounting for absentees among both girls and boys.
Step 1: Identify Total Students
- Let the total number of students be represented as 'x'.
- According to the problem, 3/7 of the students are girls, meaning:
- Number of girls = (3/7)x
- Number of boys = x - (3/7)x = (4/7)x
Step 2: Calculate Absent Students
- Absent girls: 2/9 of the girls
- Absent girls = (2/9) * (3/7)x = (6/63)x = (2/21)x
- Absent boys: 1/11 of the boys
- Absent boys = (1/11) * (4/7)x = (4/77)x
Step 3: Calculate Present Students
- Present girls = Total girls - Absent girls
- Present girls = (3/7)x - (2/21)x
- To subtract, convert (3/7) to a common denominator:
- (3/7) = (9/21)
- Present girls = (9/21)x - (2/21)x = (7/21)x = (1/3)x
- Present boys = Total boys - Absent boys
- Present boys = (4/7)x - (4/77)x
- Convert (4/7) to a common denominator:
- (4/7) = (44/77)
- Present boys = (44/77)x - (4/77)x = (40/77)x
Step 4: Total Present Students
- Total present students = Present girls + Present boys
- Total present = (1/3)x + (40/77)x
- Convert to a common denominator (231):
- (1/3) = (77/231) and (40/77) = (120/231)
- Total present = (77/231)x + (120/231)x = (197/231)x
Step 5: Calculate the Fraction of Present Students
- Fraction of total students present = Total present / Total students
- = (197/231)x / x = 197/231
Thus, the final answer is 197/231, confirming that option (a) is correct.
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In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer?.
In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer?.
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In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In class 3/7 of the students are girls and rest are boys. If 2/9 of the girls and 1/11 of the boys are absent. What part of the total number of students are present?a)197/231b)177/231c)197/242d)177/242Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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