Class 4 Exam  >  Class 4 Questions  >  7/9 of the people present in a hall are sitti... Start Learning for Free
7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?
  • a)
    15
  • b)
    12
  • c)
    18
  • d)
    10
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
7/9 of the people present in a hall are sitting in 9/13 of the chairs ...
Given:
7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing, and there are 28 empty chairs.

To Find:
Number of chairs that would have been still empty if everyone in the hall was sitting.

Solution:
Let's assume the total number of people present in the hall is 'x', and the total number of chairs available is 'y'.

According to the given condition,
7/9 of the people present are sitting, and the rest are standing.
Therefore, the number of people sitting = 7/9 * x
And, the number of people standing = 2/9 * x (since 7/9 + 2/9 = 1)

Also, 9/13 of the chairs available are occupied by the people sitting.
Therefore, the number of chairs occupied by the people sitting = 9/13 * y

Now, let's calculate the number of empty chairs in the hall:
Total number of chairs - Number of chairs occupied by people sitting = Number of empty chairs
y - (9/13 * y) = 4/13 * y

We are given that there are 28 empty chairs, so we can write:
4/13 * y = 28
y = 91

Hence, the total number of chairs available in the hall is 91.

Now, let's calculate the number of chairs that would have been still empty if everyone in the hall was sitting:
Number of chairs occupied by people sitting + Number of chairs occupied by people standing = Total number of chairs
9/13 * y + 2/9 * x = y
Substituting the values of y and 7/9 * x (since 7/9 of the people present are sitting) in the above equation, we get:
9/13 * 91 + 2/9 * (7/9 * x) = 91
Simplifying this equation, we get:
x = 70

So, the total number of people present in the hall is 70.
If everyone in the hall was sitting, then the total number of chairs occupied would be:
7/9 * 91 = 70
Therefore, the number of empty chairs would be:
91 - 70 = 21

However, we are given that there are 28 empty chairs, which means that some people are still standing.
Let's calculate the number of people standing:
Number of people standing = Total number of people present - Number of people sitting
= 70 - 7/9 * 70
= 70 - 560/9
= 2/9 * 70
= 20

Therefore, the number of chairs that would have been still empty if everyone in the hall was sitting is:
Total number of empty chairs + Number of chairs occupied by people standing
= 28 + 20
= 48

Hence, the correct answer is option 'D' (10).
Community Answer
7/9 of the people present in a hall are sitting in 9/13 of the chairs ...
Let the number of people be x and number of the chair be y.
Number of available chair = y × (9/13) = 9y/13
Number of empty chair = y - (9y/13) = 4y/13
Given, Number of empty chairs = 28
According to the question
4y/13 = 28
y = 28 × (13/4) = 91
Total number of chairs = 91
Number of chairs in which people are sitting = 91 - 28 = 63
Number of people who sit = x × (7/9) = 7x/9
According to the question
7x/9 = 63
x = 63 × (9/7) = 81
Total number of people are = 81
Chairs would have been still empty if everyone in the hall was sitting = 91 - 81 = 10
Attention Class 4 Students!
To make sure you are not studying endlessly, EduRev has designed Class 4 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 4.
Explore Courses for Class 4 exam

Similar Class 4 Doubts

Top Courses for Class 4

7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer?
Question Description
7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer?.
Solutions for 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 4. Download more important topics, notes, lectures and mock test series for Class 4 Exam by signing up for free.
Here you can find the meaning of 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer?, a detailed solution for 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty chairs, how many chairs would have been still empty if everyone in the hall was sitting?a)15b)12c)18d)10Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 4 tests.
Explore Courses for Class 4 exam

Top Courses for Class 4

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev