A library lent out 50% of its books.Then, 25% of the remaining books were stolen.They now have 75 books.How many books did the library have in the first place?150120200100
Question
A library lent out 50% of its books.Then, 25% of the remaining books were stolen.They now have 75 books.How many books did the library have in the first place?150120200100
Solution
Let's solve this step by step:
- The library lent out 50% of its books. This means that the number of books remaining is 50% of the original number of books.
Let's represent the original number of books as "x". Therefore, the number of books remaining after lending out 50% is 0.5x.
- Then, 25% of the remaining books were stolen. This means that the number of books remaining after the theft is 75% of the number of books remaining after lending out 50%.
Let's represent the number of books remaining after the theft as "y". Therefore, we have the equation:
y = 0.75 * (0.5x)
- We know that the library now has 75 books. So, we can set up another equation:
y = 75
- Now, we can solve the system of equations to find the value of "x", which represents the original number of books.
0.75 * (0.5x) = 75
Simplifying the equation:
0.375x = 75
Dividing both sides by 0.375:
x = 200
Therefore, the library had 200 books in the first place.
Similar Questions
In a school library 50% of total books are of mathematics. 70% of the no. of mathematics books are of science. 20% of the number of science books are English books. If the number of English books are 490. What is the total number of books in lthe ibrary?10000800070005000
In a library 20% of the books are in Hindi, 50% of the remaining in English and 30% of the remaining are in French and rest 6300 books are in regional language. Then, find the number of books in the library?
A library had 32 shelves of books. The books were placed either on the right or left side of the shelves. Each shelf had 21 books. There were 301 books on the left, how many books were there on the right? books
70 % of the books on a bookshelf are History books. If there are 35 History books on the book shelf .Find the number of books on a book shelf.
Ansh borrowed 80 books from library A and 120 fromlibrary B. Some books are of English language while someare of regional languages. X% of total books were in Englishlanguage. Number of books in regional language are equalto 1.25 times the books in library B. What is the value of X?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.