document.write( "Question 1138269: Two shelves contain 55 books. If half of the books from the second shelf were relocated to the first shelf, then the first shelf would contain 4 times as many books as the second one. How many books are there on each shelf?
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Algebra.Com's Answer #756096 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "Let x = # of books at the SECOND shelf; then the number of book at the FIRST shelf is (55-x).\r\n" );
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document.write( "After relocation SECOND shelf has  books, while the FIRST shelf has (55-x+ x/2}}} = (55-x/2) books.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "     = ,   or, equivalently,\r\n" );
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document.write( "    2x = \r\n" );
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document.write( "Multiply bu 2 both sides, simplify and solve for x\r\n" );
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document.write( "    4x = 110 - x\r\n" );
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document.write( "    4x + x = 110\r\n" );
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document.write( "    5x = 110\r\n" );
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document.write( "    x = 110/5 = 22.\r\n" );
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document.write( "Answer.  22 books at the second shelf and  the rest, (55-22) = 33 at the first shelf.\r\n" );
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