In a book store 60 identical books occupied a length of 1.5 meter on a shelf , find the length occupied by 50 such books on a shelf the no of such books needed to completely occupied a shelf that is 80 cm long?
Simply set up two ratio equations.
#1
60 books/1.5 m = 50 books/ L m
60/1.5 = 50/L
60L = 1.5(50)
L = 1.5(50)/60 = 1.25
50 books will occupy 1.25 metres
#2, let me know how you set it up and solved it.
To solve this problem, we need to determine the length of each book and then calculate the length occupied by a certain number of books.
First, we divide the total length of the shelf (1.5 meters or 150 centimeters) by the number of books (60) to find the length of each book:
Length of each book = Total length / Number of books
Length of each book = 150 cm / 60
Length of each book = 2.5 cm
Now, we can find the length occupied by 50 books on a shelf:
Length occupied by 50 books = Length of each book * Number of books
Length occupied by 50 books = 2.5 cm * 50
Length occupied by 50 books = 125 cm
Finally, to find the number of books needed to completely occupy a shelf that is 80 cm long, we divide the length of the shelf by the length of each book:
Number of books needed = Length of shelf / Length of each book
Number of books needed = 80 cm / 2.5 cm
Number of books needed = 32 books
Therefore, 50 books on the shelf would occupy 125 cm, and to completely occupy a shelf that is 80 cm long, you would need 32 books.