document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988533>Question 988533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during the first semester the ratio of the number of students in art class to the number of students in gym class was 2:7, however the art classes were really small and the gym classes were so large so the principal changed students classes for second semester in second semester the ratio of the numbers of students in art class to the number of students in gym class was 5:4 if 75 students were in in art class second semester how many were in art class and gym class first semester<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609350 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> during the first semester the ratio of the number of students in art class to the number of students in gym class was 2:7, however the art classes were really small and the gym classes were so large so the principal changed students classes for second semester in second semester the ratio of the numbers of students in art class to the number of students in gym class was 5:4<BR>\n" );
document.write( " if 75 students were in in art class second semester, how many were in art class and gym class first semester<BR>\n" );
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document.write( "Let x = the multiplier in the first semester<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2x = no. of students in art class in 1st semester<BR>\n" );
document.write( "7x = no. in gym class<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let y = the multiplier in the 2nd semester<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5y = art class in the 2nd semester<BR>\n" );
document.write( "4y = gym class students<BR>\n" );
document.write( "We know<BR>\n" );
document.write( "5y = 75 art students in the 2nd semester<BR>\n" );
document.write( "y = 75/5<BR>\n" );
document.write( "y = 15 is the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4(15) = 60 students in gym in the 2nd semester<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "75 + 60 = 135 total students<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In 1st semester, same total number of students<BR>\n" );
document.write( "2x + 7x = 135<BR>\n" );
document.write( "9x = 135<BR>\n" );
document.write( "x = 135/9<BR>\n" );
document.write( "x = 15 is the multiplier in the 1st semester<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "2 * 15 = 30 art students in the 1st<BR>\n" );
document.write( "7 * 15 = 105 gym students in the 1st </SPAN>\n" );
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