Let x be the number of books on each shelf at first. Then the total number of books in the library is 50x. After removing 5 shelves, there are 45 shelves with (x+7) books on each shelf. So the total number of books in the library is also 45(x+7).
Since both expressions represent the same quantity, we can set them equal to each other and solve for x:
50x = 45(x+7)
50x = 45x + 315
5x = 315
x = 63
Therefore, there were 63 books on each shelf at first.
The books in a library were placed on 50 shelves with an equal number of books on each shelf. Then 5 shelves were removed and the books on these shelves were placed on the remaining 45 shelves. As a result, the number of books on each of the remaining shelf increased by 7. What was the number of books on each shelf at first?
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