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. How many books are there in the library?
Answers
Answer:
n=140
Step-by-step explanation:
n/2+n/4+n/5+7= n
10n+5n+4n/20 + 7=n
19n/20 + 7=n
19n/20=n-7
19n=20(n-7)
19n=20n-140
140=19n-20n
140=n or n=140
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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