document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201990>Question 1201990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 22 students in a music class in a school. Students in the class are either Freshmen or Sophomore, and there are 6 more boys than girls. If there are 5 Freshmen boys and 4 Sophomore girls, how many Sophomores are in the class?  </SPAN>\n" );
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document.write( "Answer: <font color=red size=4>13 sophomores</font>\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "b = number of sophomore boys<BR>\n" );
document.write( "b+5 = total number of boys since there are 5 freshmen boys.\r<BR>\n" );
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document.write( "There are 6 more boys, compared to girls<BR>\n" );
document.write( "number of boys = (number of girls) + 6<BR>\n" );
document.write( "number of girls = (number of boys) - 6<BR>\n" );
document.write( "number of girls = (b+5) - 6<BR>\n" );
document.write( "number of girls = b - 1\r<BR>\n" );
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document.write( "Since there are b-1 total girls and 4 sophomore girls, there must be (b-1)-4 = b-5 freshmen girls.\r<BR>\n" );
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document.write( "There are 5 freshmen boys and b-5 freshmen girls, so there are 5+(b-5) = b number of freshmen.\r<BR>\n" );
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document.write( "There are b sophomore boys and 4 sophomore girls, giving b+4 sophomores total.\r<BR>\n" );
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document.write( "Here's a table organizing the data so far.<BR>\n" );
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document.write( "<tr><TD ></TD><TD >Boys</TD><TD >Girls</TD><TD >Total</TD></tr><tr><TD >Freshmen</TD><TD >5</TD><TD >b-5</TD><TD >b</TD></tr><tr><TD >Sophomores</TD><TD >b</TD><TD >4</TD><TD >b+4</TD></tr><tr><TD >Total</TD><TD >b+5</TD><TD > b-1</TD><TD >22</TD></tr>\n" );
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document.write( "Add along the \"total\" row or column to get 2b+4 = 22 which solves to b = 9.\r<BR>\n" );
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document.write( "Then we can update the table into this<BR>\n" );
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document.write( "<tr><TD ></TD><TD >Boys</TD><TD >Girls</TD><TD >Total</TD></tr><tr><TD >Freshmen</TD><TD >5</TD><TD >4</TD><TD >9</TD></tr><tr><TD >Sophomores</TD><TD >9</TD><TD >4</TD><TD ><font color=red size=4>13</font></TD></tr><tr><TD >Total</TD><TD >14</TD><TD >8</TD><TD >22</TD></tr>\n" );
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