document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711438>Question 711438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 73 children at the playground.  1/3 of the boys and 2/7 of the girls are swimming in the pool.  If there are 22 kids in the pool in all, how many boys are there at the playground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437409 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=437409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 73 children at the playground.<BR>\n" );
document.write( "b + g = 73<BR>\n" );
document.write( "g = (73-b)\r<BR>\n" );
document.write( "\n" );
document.write( " 1/3 of the boys and 2/7 of the girls are swimming in the pool.<BR>\n" );
document.write( " If there are 22 kids in the pool in all,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >b + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >g = 22<BR>\n" );
document.write( "multiply by 21 to get rid of the denominators, resulting in:<BR>\n" );
document.write( "7b + 3(2g) = 21*22<BR>\n" );
document.write( "7b + 6g = 462<BR>\n" );
document.write( "replace g with (73-b)<BR>\n" );
document.write( "7b + 6(73-b) = 462<BR>\n" );
document.write( "7b + 438 - 6b = 462<BR>\n" );
document.write( "7b - 6b = 462 - 438<BR>\n" );
document.write( "b = 24 boys at the playground?<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "confirm this by finding the number of girls, then the total in the pool.<BR>\n" );
document.write( "73 - 24 = 49 girls<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*24 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*49 = <BR>\n" );
document.write( "8 + 14 = 22 in the pool </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );