document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163629>Question 1163629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 152 students in 5th grade. 1/11 of the boys and 5 girls join a science club. In the rest of the students, boys and girls are equal. How many boys vs girls are in 5th grade? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787772 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of boys<BR>\n" );
document.write( "y = number of girls<BR>\n" );
document.write( "x + y = 152<BR>\n" );
document.write( "1/11 * x + 5 = s = number of students in the science club.<BR>\n" );
document.write( "the rest of the boys and girls are equal in number each.<BR>\n" );
document.write( "this means that 10/11 * x = y - 5<BR>\n" );
document.write( "this is because x - 1/11 * x = 10/11 * x are the number of boys remaining and y - 5 are the number of girls remaining.<BR>\n" );
document.write( "since they are equal, 10/11 * x = y - 5<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 10/11 * x + 5<BR>\n" );
document.write( "since x + y = 152, replace y with 10/11 * x + 5 to get:<BR>\n" );
document.write( "x + 10/11 * x + 5 = 152<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "21/11 * x + 5 = 152<BR>\n" );
document.write( "subtract 5 from both sides of the equation to get:<BR>\n" );
document.write( "21/11 * x = 147<BR>\n" );
document.write( "multiply both sides of the equation by 11/21 to get:<BR>\n" );
document.write( "x = 147 * 11 / 21 = 77<BR>\n" );
document.write( "since x + y = 152, then y must be equal to 75 because 77 + 75 = 152.<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "x + y = 152 becomes 77 + 75 = 152 which is true<BR>\n" );
document.write( "1/11 of the boys = 1/11 * 77 = 7<BR>\n" );
document.write( "7 of the boys are in the science club.<BR>\n" );
document.write( "the remaining number of boys is 77 - 7 = 70 who are not in the science club.<BR>\n" );
document.write( "5 of the girls are in the science club.<BR>\n" );
document.write( "the remaining number of girls is 75 - 5 = 70 who are not in the science club.<BR>\n" );
document.write( "the number of boys and girls who are not in the science club are the same.<BR>\n" );
document.write( "problem is solved.<BR>\n" );
document.write( "solution is there are 77 boys and 75 girls in the 5th grade for a total of 152 students.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );