document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473285>Question 473285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi tutors, please help with the following math problem. Thank you very much.\r<BR>\n" );
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document.write( "Jack and Mark have 49 beads. Mark and Ben have 37 beads. Jack and Ben have 60 beads. How many beads does each of them have and the sum of all?\r<BR>\n" );
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document.write( "I tried by adding 49 + 60 then minus 37 and divide 3, which I got 24. After that, i am stuck as I couldn't figure out how many does each boy have. I totaled up the numbers to be 74 but the answer should be 73. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324561 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=324561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let J = # of beads Jack has, M = # of beads Mark has, and B = # of beads Ben has\r<BR>\n" );
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document.write( "Since \"Jack and Mark have 49 beads\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J%2BM=49 ALIGN=MIDDLE  ALT=\"J%2BM=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve for M to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=49-J ALIGN=MIDDLE  ALT=\"M=49-J\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because \"Mark and Ben have 37 beads\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2BB=37 ALIGN=MIDDLE  ALT=\"M%2BB=37\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=49-J ALIGN=MIDDLE  ALT=\"M=49-J\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849-J%29%2BB=37 ALIGN=MIDDLE  ALT=\"%2849-J%29%2BB=37\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now solve for B to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=37-49%2BJ ALIGN=MIDDLE  ALT=\"B=37-49%2BJ\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-12%2BJ ALIGN=MIDDLE  ALT=\"B=-12%2BJ\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since \"Jack and Ben have 60 beads\", we see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J%2BB=60 ALIGN=MIDDLE  ALT=\"J%2BB=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-12%2BJ ALIGN=MIDDLE  ALT=\"B=-12%2BJ\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J%2B%28-12%2BJ%29=60 ALIGN=MIDDLE  ALT=\"J%2B%28-12%2BJ%29=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which will simplify to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2J-12=60 ALIGN=MIDDLE  ALT=\"2J-12=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now solve for J\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2J-12=60 ALIGN=MIDDLE  ALT=\"2J-12=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2J=60%2B12 ALIGN=MIDDLE  ALT=\"2J=60%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2J=72 ALIGN=MIDDLE  ALT=\"2J=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J=72%2F2 ALIGN=MIDDLE  ALT=\"J=72%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J=36 ALIGN=MIDDLE  ALT=\"J=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So Jack has 36 beads.\r<BR>\n" );
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document.write( "So Mark has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=49-J=49-36=13 ALIGN=MIDDLE  ALT=\"M=49-J=49-36=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > beads\r<BR>\n" );
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document.write( "So Ben has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-12%2BJ=-12%2B36=24 ALIGN=MIDDLE  ALT=\"B=-12%2BJ=-12%2B36=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > beads\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Jack has 36 beads, Mark has 13 beads, and Ben has 24 beads.\r<BR>\n" );
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document.write( "In total, they have 36+13+24 = 73 beads </SPAN>\n" );
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