document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256593>Question 256593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose the ratio of girls to boys in your school is 19:17. Theree are 1908 students altogether.\r<BR>\n" );
document.write( "\n" );
document.write( "A. Solve the proportion g/b=19/17\r<BR>\n" );
document.write( "\n" );
document.write( "B. Write and solve the system of equations to find the total number of boys b and girls  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188690 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of boys be 19x<BR>\n" );
document.write( "Then the number of girls is 17x<BR>\n" );
document.write( "Total number of students = 19x+17x = 36x<BR>\n" );
document.write( "Given total 36x = 1908<BR>\n" );
document.write( "              x = 1908/36<BR>\n" );
document.write( "              x = 53<BR>\n" );
document.write( "Therefore the number of boys = 19*53 = 1007<BR>\n" );
document.write( "Then the number of girls = 17*53 = 901\r<BR>\n" );
document.write( "\n" );
document.write( "Another Method<BR>\n" );
document.write( "Let the number of boys be x<BR>\n" );
document.write( "And the number of girls is y<BR>\n" );
document.write( "Given,  x/y = 19/17<BR>\n" );
document.write( "        17x = 19y<BR>\n" );
document.write( "        17x-19y = 0  ...(1)<BR>\n" );
document.write( "Next,    <BR>\n" );
document.write( "Total number of students is x+y = 1908  ...(2)<BR>\n" );
document.write( "(2)*19 =>  19x+19y = 36252 ...(3)<BR>\n" );
document.write( "(2)+(3) => 36x = 36252<BR>\n" );
document.write( "             x = 36252/36<BR>\n" );
document.write( "             x = 1007\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore the number of boys = 19*53 = 1007<BR>\n" );
document.write( "Then the number of girls = 1908-1007 = 901\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );