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In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
- a)72
- b)80
- c)120
- d)100
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a certain school, 20% of students are below 8 years of age. The num...
Let the number of students be x. Then,
Number of students above 8 years of age
= (100 – 20) % of x = 80% of x.
∴ 80% of x = 48 + 2/3 of 48
⇒ (80/100) x = 80
⇒ x = 100
Number of students above 8 years of age
= (100 – 20) % of x = 80% of x.
∴ 80% of x = 48 + 2/3 of 48
⇒ (80/100) x = 80
⇒ x = 100
Most Upvoted Answer
In a certain school, 20% of students are below 8 years of age. The num...
Total Number of Students in the School
To find the total number of students in the school, let's break down the information given in the problem.
Step 1: Identify the number of students who are 8 years old
- The problem states that the number of students who are 8 years of age is 48.
Step 2: Find the number of students above 8 years of age
- According to the information, the number of students above 8 years is 2/3 of those who are 8 years old.
- Calculation: (2/3) * 48 = 32 students above 8 years of age.
Step 3: Calculate the total number of students above and below 8 years of age
- We already know:
- Students aged 8: 48
- Students above 8: 32
- Students below 8: 20% of the total students (let's denote the total number of students as T).
Step 4: Set up the equation
- We can express the total number of students in terms of T:
- Students below 8 = 0.20T.
Step 5: Combine all the parts
- Total students can be represented as:
- T = Students below 8 + Students aged 8 + Students above 8
- T = 0.20T + 48 + 32
- T = 0.20T + 80.
Step 6: Solve for T
- Rearranging gives:
- T - 0.20T = 80
- 0.80T = 80
- T = 80 / 0.80
- T = 100.
Conclusion
- Hence, the total number of students in the school is 100, which corresponds to option 'D'.
To find the total number of students in the school, let's break down the information given in the problem.
Step 1: Identify the number of students who are 8 years old
- The problem states that the number of students who are 8 years of age is 48.
Step 2: Find the number of students above 8 years of age
- According to the information, the number of students above 8 years is 2/3 of those who are 8 years old.
- Calculation: (2/3) * 48 = 32 students above 8 years of age.
Step 3: Calculate the total number of students above and below 8 years of age
- We already know:
- Students aged 8: 48
- Students above 8: 32
- Students below 8: 20% of the total students (let's denote the total number of students as T).
Step 4: Set up the equation
- We can express the total number of students in terms of T:
- Students below 8 = 0.20T.
Step 5: Combine all the parts
- Total students can be represented as:
- T = Students below 8 + Students aged 8 + Students above 8
- T = 0.20T + 48 + 32
- T = 0.20T + 80.
Step 6: Solve for T
- Rearranging gives:
- T - 0.20T = 80
- 0.80T = 80
- T = 80 / 0.80
- T = 100.
Conclusion
- Hence, the total number of students in the school is 100, which corresponds to option 'D'.
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In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer?
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In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer?.
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer?.
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In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?a)72b)80c)120d)100Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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