In a library, there were 5 shelves that each held an equal number of books. The librarian rearranged the books and moved them to 9 shelves. Each shelf still has an equal number of books. There are more than 140 total, but less than 200. How many books are on each of the 9 shelves now?
2006-11-06 14:25:08 · 6 answers · asked by Black Rose 2 in Science & Mathematics ➔ Mathematics
5 shelves each held an equal number of books
9 shelves also hold an equal number of books.
The total number of books is between 140 to 200.
The total number of books is a multiple of both 5 and 9.
180 is the only possibility.
The total number of books is 180.
No. of books on each of the 9 shelves = 180/9
= 20
Each shelf holds 20 books
2006-11-06 23:53:52 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
180 is the only common multiple of 5 and 9 which is between 140 and 200.
Therefore total number is 180 and after rearranging 20 books on each of the 9 shelves.
2006-11-06 22:51:03 · answer #2 · answered by harsh_bkk 3 · 0⤊ 0⤋
180/5=36 books on each of the 5 shelves
180/9=20 books on each of the nine shelves
so there are 20 books on each of the 9 shelves
2006-11-06 22:36:10 · answer #3 · answered by sPuNkY 2 · 0⤊ 0⤋
20
2006-11-06 22:28:23 · answer #4 · answered by aj56470 1 · 0⤊ 0⤋
5*9=45 *4=180 /9=20
2006-11-06 22:29:50 · answer #5 · answered by zoiella000000 2 · 0⤊ 0⤋
The answer is 180 total and 20 on each shelf now.
2006-11-06 22:36:21 · answer #6 · answered by penguinojoe 2 · 0⤊ 0⤋