document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936014>Question 936014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. There are 6 fangos in a rango and 15 rangos in a bango. <BR>\n" );
document.write( "a. Alex has 9 rangos and 4 fangos. Barbara has 7 rangos and 3 fangos. How many fangos do they both have in total?<BR>\n" );
document.write( "b. What fraction of a bango do 12 fangos represent?<BR>\n" );
document.write( "c. How many whole bangos are there in 274 fangos? How many fangos are left over?<BR>\n" );
document.write( "2. AB + C = 50<BR>\n" );
document.write( "   BC + A = 41<BR>\n" );
document.write( "WHAT IS THE VALUE OF A, B AND C?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569432 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. let rangos be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >, fangos <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F ALIGN=MIDDLE  ALT=\"F\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and a bango <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=6F ALIGN=MIDDLE  ALT=\"R=6F\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=15R ALIGN=MIDDLE  ALT=\"B=15R\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.2<BR>\n" );
document.write( "-------------------\r<BR>\n" );
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document.write( "a. Alex has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > rangos and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > fangos. <BR>\n" );
document.write( "Barbara has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > rangos and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > fangos. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Alex=9R%2B4F ALIGN=MIDDLE  ALT=\"Alex=9R%2B4F\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Alex=9%2A6F%2B4F=54F%2B4F=58F ALIGN=MIDDLE  ALT=\"Alex=9%2A6F%2B4F=54F%2B4F=58F\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Barbara=7R%2B3F=7%2A6F%2B4F=42F%2B4F=46F ALIGN=MIDDLE  ALT=\"Barbara=7R%2B3F=7%2A6F%2B4F=42F%2B4F=46F\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Alex%2BBarbara=58F%2B46F=104F ALIGN=MIDDLE  ALT=\"Alex%2BBarbara=58F%2B46F=104F\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "easy\r<BR>\n" );
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document.write( "A = 41<BR>\n" );
document.write( "B = 0<BR>\n" );
document.write( "C = 50\r<BR>\n" );
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document.write( "proof:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BC=50 ALIGN=MIDDLE  ALT=\"AB%2BC=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >................eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC%2BA=41 ALIGN=MIDDLE  ALT=\"BC%2BA=41\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BC=50 ALIGN=MIDDLE  ALT=\"AB%2BC=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > ......eq.1 ...........solve for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=50-AB ALIGN=MIDDLE  ALT=\"C=50-AB\"   DISABLED_style= \"max-width:90%; height:auto;\" >..substitute in eg.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2850-AB%29%2BA=41 ALIGN=MIDDLE  ALT=\"B%2850-AB%29%2BA=41\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50B-AB%5E2%2BA=41 ALIGN=MIDDLE  ALT=\"50B-AB%5E2%2BA=41\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   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=50B-A%28B%5E2-1%29=41 ALIGN=MIDDLE  ALT=\"50B-A%28B%5E2-1%29=41\"   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=50B=41%2BA%28B%5E2-1%29 ALIGN=MIDDLE  ALT=\"50B=41%2BA%28B%5E2-1%29\"   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=50B-41=A%28B%5E2-1%29 ALIGN=MIDDLE  ALT=\"50B-41=A%28B%5E2-1%29\"   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=A=%2850B-41%29%2F%28B%5E2-1%29 ALIGN=MIDDLE  ALT=\"A=%2850B-41%29%2F%28B%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=50-%28%2850B-41%29%2F%28B%5E2-1%29%29B ALIGN=MIDDLE  ALT=\"C=50-%28%2850B-41%29%2F%28B%5E2-1%29%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BC=50 ALIGN=MIDDLE  ALT=\"AB%2BC=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.1 substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   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=%28%2850B-41%29%2F%28B%5E2-1%29%29B%2B50-%28%2850B-41%29%2F%28B%5E2-1%29%29B=50 ALIGN=MIDDLE  ALT=\"%28%2850B-41%29%2F%28B%5E2-1%29%29B%2B50-%28%2850B-41%29%2F%28B%5E2-1%29%29B=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2850B-41%29B%2B50%28B%5E2-1%29-%2850B-41%29B%29%2F%28B%5E2-1%29=50 ALIGN=MIDDLE  ALT=\"%28%2850B-41%29B%2B50%28B%5E2-1%29-%2850B-41%29B%29%2F%28B%5E2-1%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850B%5E2-41B%2B50B%5E2-50-50B%5E2%2B41B%29%2F%28B%5E2-1%29=50 ALIGN=MIDDLE  ALT=\"%2850B%5E2-41B%2B50B%5E2-50-50B%5E2%2B41B%29%2F%28B%5E2-1%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-50%2F%28B%5E2-1%29=50 ALIGN=MIDDLE  ALT=\"-50%2F%28B%5E2-1%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-50=50%28B%5E2-1%29 ALIGN=MIDDLE  ALT=\"-50=50%28B%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=B%5E2-1 ALIGN=MIDDLE  ALT=\"-1=B%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B1=B%5E2 ALIGN=MIDDLE  ALT=\"-1%2B1=B%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=B%5E2 ALIGN=MIDDLE  ALT=\"0=B%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B=0%29 ALIGN=MIDDLE  ALT=\"highlight%28B=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=50-%2850B-41%29%2F%28B%5E2-1%29B ALIGN=MIDDLE  ALT=\"C=50-%2850B-41%29%2F%28B%5E2-1%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C=50-%2850%2A0-41%29%2F%280%5E2-1%29%2A0 ALIGN=MIDDLE  ALT=\"+C=50-%2850%2A0-41%29%2F%280%5E2-1%29%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C=50-%28-41%2F-1%29%2A0 ALIGN=MIDDLE  ALT=\"+C=50-%28-41%2F-1%29%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C=50-0 ALIGN=MIDDLE  ALT=\"+C=50-0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28C=50%29 ALIGN=MIDDLE  ALT=\"+highlight%28C=50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2850B-41%29%2F%28B%5E2-1%29 ALIGN=MIDDLE  ALT=\"A=%2850B-41%29%2F%28B%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2850%2A0-41%29%2F%280%5E2-1%29 ALIGN=MIDDLE  ALT=\"A=%2850%2A0-41%29%2F%280%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-41%2F-1 ALIGN=MIDDLE  ALT=\"A=-41%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=41%29 ALIGN=MIDDLE  ALT=\"highlight%28A=41%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );