document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205847>Question 1205847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chairs are arranged in the hall into 18 short rows and 7 long rows. Each long row has 18 more chairs than each short row. 1/2 of the chairs are arranged into long rows. 3/7 of the chairs are arranged into short rows. The remaining chairs are stacked in a corner.\r<BR>\n" );
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document.write( "(a) What fraction of the chairs are stacked in the corner?<BR>\n" );
document.write( "(b) How many chairs are arranged in long rows? </SPAN>\n" );
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document.write( "1/2 of the chairs are arranged in long rows; 3/7 of them are arranged in short rows. The remainder are stacked in a corner.<br><BR>\n" );
document.write( "1/2 + 3/7 = 7/14 + 6/14 = 13/14<br><BR>\n" );
document.write( "(a) ANSWER: 1 - 13/14 = 1/14 of the chairs are stacked in the corner.<br><BR>\n" );
document.write( "Using the fractions 7/14 and 6/14 from the preceding calculation....<br><BR>\n" );
document.write( "let 7x = number of chairs in the 7 long rows<BR>\n" );
document.write( "let 6x = number of chairs in the 18 short rows<br><BR>\n" );
document.write( "Then the number of chairs in each long row is 7x/7 = x<BR>\n" );
document.write( "And the number of chairs in each short row is 6x/18 = x/3<br><BR>\n" );
document.write( "The number of chairs in each long row is 18 more than the number in each short row:<br><BR>\n" );
document.write( "x - (x/3) = 18<BR>\n" );
document.write( "(2/3)x = 18<BR>\n" );
document.write( "x = 18(3/2) = 27<br><BR>\n" );
document.write( "(b) ANSWER: the number of chairs in long rows is 7x = 7*27 = 189<br><BR>\n" );
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