There are n books in a class library. 4 students have decided to take books on a particular day. The first student takes 1 2 of the books, the second takes 1 4 th of the books, the third student takes 1 5 th of the books and the fourth student gets only 7 books. How many books are there in the library?
Answers
Given : There are n books in a class library. 4 students have decided to take books on a particular day.
The first student takes 1/2 of the books, the second takes 1/4 th of the books, the third student takes 1/5 thof the books and the fourth student gets only 7 books.
To Find : How many books are there in the library?
Solution:
Total Books = n
first students gets = n/2
2nd student gets = n/4
33rd student gets = n/5
fourth gets = 7
n = n/2 + n/4 + n/5 + 7
Multiplying by 20 on both sides
=> 20 n = 10n + 5n + 4n + 140
=> 20n = 19n + 140
=> n = 140
Hence 140 books in Library
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Answer:
n -140............................