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The average presence of students of a class in a College on Monday, Tuesday and Wednesday is 32 and on the Wednesday, Thursday, Friday and Saturday is 30. if the average number of students on all the six days is 26 then the number of students who attended the class on Wednesday is?
  • a)
    50
  • b)
    40
  • c)
    60
  • d)
    70
  • e)
    80
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average presence of students of a class in a College on Monday, Tu...
Answer – C. 60 Explanation: 32 * 3 + 30 * 4 – 26 * 6 = 96 + 120 – 156 = 60
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The average presence of students of a class in a College on Monday, Tu...
Given:
- Average presence of students on Monday, Tuesday, and Wednesday = 32
- Average presence of students on Wednesday, Thursday, Friday, and Saturday = 30
- Average number of students on all six days = 26

To find: Number of students who attended the class on Wednesday

Approach:
Let the number of students present on Monday, Tuesday, and Wednesday be 3x.
Let the number of students present on Wednesday, Thursday, Friday, and Saturday be 4y.

Then, we have:
3x/3 = 32 => x = 32*3 = 96 (Total number of students present on Monday, Tuesday, and Wednesday)
4y/4 = 30 => y = 30*4 = 120 (Total number of students present on Wednesday, Thursday, Friday, and Saturday)

Total number of students present on all six days = 26*6 = 156

Now, we can form the equation:
(3x + 4y)/6 = 26

Substituting the values of x and y, we get:
(3*96 + 4*120)/6 = 26
=> 648/6 = 26
=> 108 = 26*6 - (30 + z) (where z is the number of students present on Wednesday)

Solving for z, we get:
z = 60

Therefore, the number of students who attended the class on Wednesday is 60.

Answer: Option (c) 60
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The average presence of students of a class in a College on Monday, Tuesday and Wednesday is 32 and on the Wednesday, Thursday, Friday and Saturday is 30. if the average number of students on all the six days is 26 then the number of students who attended the class on Wednesday is?a)50b)40c)60d)70e)80Correct answer is option 'C'. Can you explain this answer?
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