document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98811>Question 98811</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395461405/algebrahomeworkh>Algebra:Structure and Method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The ninth grade class has 17 more girls than boys.There are 431 students in all.How many boys are there?How many girls are there? Choices for number of boys:191, 202, 207. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71885 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First set some variables<BR>\n" );
document.write( "Let's say boys = b and girls = g<BR>\n" );
document.write( "Given that there are 17 more girls than boys we can show that as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+b+%2B+17 ALIGN=MIDDLE  ALT=\"g+=+b+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We are also given the total number of all students is 431 and so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%2B+g+=+431 ALIGN=MIDDLE  ALT=\"b+%2B+g+=+431\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now since we have established that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+b+%2B+17 ALIGN=MIDDLE  ALT=\"g+=+b+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can subsitute b + 17 for <BR>\n" );
document.write( "the g in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%2B+g+=+431 ALIGN=MIDDLE  ALT=\"b+%2B+g+=+431\"   DISABLED_style= \"max-width:90%; height:auto;\" > which gives us this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%2B+%28b+%2B+17%29+=+431 ALIGN=MIDDLE  ALT=\"b+%2B+%28b+%2B+17%29+=+431\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We now have an equation with only one variable to solve for<BR>\n" );
document.write( "so lets solve for b:<BR>\n" );
document.write( "b + b + 17 = 431<BR>\n" );
document.write( "2b + 17 = 431<BR>\n" );
document.write( "2b = 414<BR>\n" );
document.write( "b = 207<BR>\n" );
document.write( "Now that we have solved for b we can use that value to solve for g in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+b+%2B+17 ALIGN=MIDDLE  ALT=\"g+=+b+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "g = 207 + 17<BR>\n" );
document.write( "g = 224<BR>\n" );
document.write( "Finally we can check our answers by pluging them into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%2B+g+=+431 ALIGN=MIDDLE  ALT=\"b+%2B+g+=+431\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );