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In a particular week the average number of people visited the museum is 70. If we exclude the holidays then the average number is increased by 28. Further if we exclude the day which the maximum of 210 visitors visited the museum, then the average become 40.Find the no of holidays in the week
- a)None
- b)One
- c)Three
- d)Two
- e)Can’t be determined
Correct answer is option 'D'. Can you explain this answer?
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In a particular week the average number of people visited the museum i...
Answer – 4.Two Explanation : Total no of visitors in a week = 70* 7 = 490 X = no of holidays Exclude hloidays (7-x)*98 =490 7-x = 5 X = 2
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In a particular week the average number of people visited the museum i...
We can start by setting up equations based on the given information. Let's use H to represent the number of holidays in the week.
From the first sentence, we know that:
(1) Total number of visitors in the week / 7 = 70
This can be simplified to:
(2) Total number of visitors in the week = 490
From the second sentence, we know that:
(3) Total number of visitors on non-holiday days / 5 = 98
This can be simplified to:
(4) Total number of visitors on non-holiday days = 490 - H*70 + 28*5
Simplifying further:
(5) Total number of visitors on non-holiday days = 420 - 70H
From the third sentence, we know that:
(6) (Total number of visitors - 210) / 6 = 40
Simplifying and rearranging:
(7) Total number of visitors = 450
Using equations (2) and (7), we can solve for the number of visitors on the holiday(s):
490 - H*70 = 450
H = 1
So there was one holiday in the week. Answer: (b) One.
From the first sentence, we know that:
(1) Total number of visitors in the week / 7 = 70
This can be simplified to:
(2) Total number of visitors in the week = 490
From the second sentence, we know that:
(3) Total number of visitors on non-holiday days / 5 = 98
This can be simplified to:
(4) Total number of visitors on non-holiday days = 490 - H*70 + 28*5
Simplifying further:
(5) Total number of visitors on non-holiday days = 420 - 70H
From the third sentence, we know that:
(6) (Total number of visitors - 210) / 6 = 40
Simplifying and rearranging:
(7) Total number of visitors = 450
Using equations (2) and (7), we can solve for the number of visitors on the holiday(s):
490 - H*70 = 450
H = 1
So there was one holiday in the week. Answer: (b) One.
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In a particular week the average number of people visited the museum is 70. If we exclude the holidays then the average number is increased by 28. Further if we exclude the day which the maximum of 210 visitors visited the museum, then the average become 40.Find the no of holidays in the weeka)Noneb)Onec)Threed)Twoe)Can’t be determinedCorrect answer is option 'D'. Can you explain this answer?
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