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The last question of the seventh volume of Huanggang mathematics in grade five.
Set up the first bookshelf with x original books.

( 1+2/9)( 1- 1/4)x =(360-x+ 1/4x)

1 1/9×3/4x=360-3/4x

1 1/ 12x = 360-3/4x

1 1/ 12x+3/4x = 360

5/3x=360

x = 2 16 360-2 16 = 144

The first shelf has 2 16 books.

The second shelf has 144 original books.