document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202746>Question 1202746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a library, 40% of the books were fiction and the rest were non-fiction. When 875 books were borrowed, the number of fiction books became half of the original number and the number of non-fiction books were decreased by 25%.<BR>\n" );
document.write( "a) How many non-fiction books were borrowed?<BR>\n" );
document.write( "b) How many fiction books were there at first? </SPAN>\n" );
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document.write( "40% of the total number of books were fiction; when the 875 books were borrowed, the number of fiction books left was half the original number. So the fiction books that were borrowed were 20% of the total number of books in the library.<br><BR>\n" );
document.write( "Since 40% of the books were fiction, 60% were non-fiction.  When the 875 books were borrowed, the number of non-fiction books decreased by 25%. 25% of 60% is 15%, so the non-fiction books that were borrowed were 15% of the total number of books in the library.<br><BR>\n" );
document.write( "So the 875 books that were borrowed were 20%+15% = 35% of the total number of books in the library.<br><BR>\n" );
document.write( "Let x be the total number of books in the library.  Then<BR>\n" );
document.write( ".35x = 875<BR>\n" );
document.write( "x = 875/.35 = 2500<br><BR>\n" );
document.write( "a) The number of non-fiction books that were borrowed was 15% of the total of 2500:<br><BR>\n" );
document.write( "ANSWER: .15(2500)= 375<br><BR>\n" );
document.write( "b) The number of fiction books in the library at first was 40% of the total of 2500:<br><BR>\n" );
document.write( "ANSWER: .40(2500) = 1000<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );