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On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?
- a)56
- b)35
- c)20
- d)48
Correct answer is option 'D'. Can you explain this answer?
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On Monday, if 1/2 of number of students of class VIII are in a compute...
Given:
- 1/2 of the number of students in Class VIII are in the computer room.
- 1/4 of the number of students in Class VIII are in the art room.
- The rest of the students (12 students) are in the playground.
To find:
The total number of students in Class VIII.
Solution:
Let's assume the total number of students in Class VIII as 'x'.
Distribution of students:
- Number of students in the computer room = 1/2 * x
- Number of students in the art room = 1/4 * x
- Number of students in the playground = 12
Total number of students:
To find the total number of students in Class VIII, we can add the number of students in each location.
Total number of students = Number of students in the computer room + Number of students in the art room + Number of students in the playground
Total number of students = 1/2 * x + 1/4 * x + 12
Simplifying the expression:
To simplify the expression, we need to find a common denominator for 1/2 and 1/4.
The common denominator of 2 and 4 is 4.
1/2 * x can be written as (1/2) * (x/1) * (2/2) = 2x/4
1/4 * x can be written as (1/4) * (x/1) * (4/4) = x/4
Now, the expression becomes:
Total number of students = 2x/4 + x/4 + 12
Combining like terms:
To combine like terms, we can add the numerators and keep the denominator the same.
Total number of students = (2x + x)/4 + 12
Total number of students = 3x/4 + 12
Given that the total number of students is 48:
We can substitute the value of the total number of students into the expression and solve for 'x'.
48 = 3x/4 + 12
Subtracting 12 from both sides:
48 - 12 = 3x/4
36 = 3x/4
To get rid of the fraction, we can multiply both sides by 4:
36 * 4 = 3x
144 = 3x
Dividing both sides by 3:
144/3 = x
48 = x
Therefore, the total number of students in Class VIII is 48.
Conclusion:
The correct answer is option 'D' - 48. The total number of students in Class VIII is 48.
- 1/2 of the number of students in Class VIII are in the computer room.
- 1/4 of the number of students in Class VIII are in the art room.
- The rest of the students (12 students) are in the playground.
To find:
The total number of students in Class VIII.
Solution:
Let's assume the total number of students in Class VIII as 'x'.
Distribution of students:
- Number of students in the computer room = 1/2 * x
- Number of students in the art room = 1/4 * x
- Number of students in the playground = 12
Total number of students:
To find the total number of students in Class VIII, we can add the number of students in each location.
Total number of students = Number of students in the computer room + Number of students in the art room + Number of students in the playground
Total number of students = 1/2 * x + 1/4 * x + 12
Simplifying the expression:
To simplify the expression, we need to find a common denominator for 1/2 and 1/4.
The common denominator of 2 and 4 is 4.
1/2 * x can be written as (1/2) * (x/1) * (2/2) = 2x/4
1/4 * x can be written as (1/4) * (x/1) * (4/4) = x/4
Now, the expression becomes:
Total number of students = 2x/4 + x/4 + 12
Combining like terms:
To combine like terms, we can add the numerators and keep the denominator the same.
Total number of students = (2x + x)/4 + 12
Total number of students = 3x/4 + 12
Given that the total number of students is 48:
We can substitute the value of the total number of students into the expression and solve for 'x'.
48 = 3x/4 + 12
Subtracting 12 from both sides:
48 - 12 = 3x/4
36 = 3x/4
To get rid of the fraction, we can multiply both sides by 4:
36 * 4 = 3x
144 = 3x
Dividing both sides by 3:
144/3 = x
48 = x
Therefore, the total number of students in Class VIII is 48.
Conclusion:
The correct answer is option 'D' - 48. The total number of students in Class VIII is 48.
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On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct answer is option 'D'. Can you explain this answer?
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On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct 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 On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct 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 On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct answer is option 'D'. Can you explain this answer?.
On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct 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 On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct 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 On Monday, if 1/2 of number of students of class VIII are in a computer room, 1/4 are in art room and rest 12 students are in playground. What is the total number of students in a class?a)56b)35c)20d)48Correct answer is option 'D'. Can you explain this answer?.
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