document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290306>Question 290306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 24 boxes are carried by 24 people.  Adults can carry 3 boxes Teenages can carry 2 boxes and 3 children can carry 1 box.  How do I figure hown many of which people carried how many boxes.  Some thing like 3 adults 2 teenagers and 6 children??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210076 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=210076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 24 boxes are carried by 24 people.<BR>\n" );
document.write( " Adults can carry 3 boxes Teenagers can carry 2 boxes and 3 children can carry 1 box. <BR>\n" );
document.write( "How do I figure how many of which people carried how many boxes.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Total people equation:<BR>\n" );
document.write( "a + t + c = 24<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let each child carry 1/3 of box<BR>\n" );
document.write( "3a + 2t + <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;\" >c = 24<BR>\n" );
document.write( "Multiply by 3 and use elimination with the first equation:<BR>\n" );
document.write( "9a + 6t + c = 72<BR>\n" );
document.write( " a + t  + c = 24<BR>\n" );
document.write( "-------------------subtraction eliminates c<BR>\n" );
document.write( "8a + 5t = 48<BR>\n" );
document.write( "8a = 48 - 5t<BR>\n" );
document.write( "Divide eq by 8:<BR>\n" );
document.write( "a = 6 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >t<BR>\n" );
document.write( "We must have an integer solution; t has to be a multiple of 8, but not 16<BR>\n" );
document.write( "t=8<BR>\n" );
document.write( "a = 6 - 5<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1 adult, 8 teenagers<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the number of children<BR>\n" );
document.write( "1 + 8 + c = 24<BR>\n" );
document.write( "c = 24 - 9<BR>\n" );
document.write( "c = 15 children<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check by finding the number of boxes<BR>\n" );
document.write( "1(3) + 8(2) + <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;\" >15 = 24<BR>\n" );
document.write( "3 + 16 + 5 = 24 boxes<BR>\n" );
document.write( ";<BR>\n" );
document.write( "1 adult, 8 teenagers, 15 children<BR>\n" );
document.write( "  </SPAN>\n" );
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