document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715577>Question 715577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of left-handed to right-handed students was 3 to 14. If the total number in both categories was 714, how many were right-handed? Please help solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439511 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> THE FIFTH GRADER SOLUTION:<BR>\n" );
document.write( "If that ratio was true in a group of 17=3+14 students, you would have 3 left handed students and 14 right handed students out of 17 students.<BR>\n" );
document.write( "The ratio of right handed to total would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F17 ALIGN=MIDDLE  ALT=\"14%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so the total number of right handed students is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=714%2814%2F17%29=highlight%28588%29 ALIGN=MIDDLE  ALT=\"714%2814%2F17%29=highlight%28588%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "ANOTHER WAY:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of right handed students<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=714-x ALIGN=MIDDLE  ALT=\"714-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of left handed students<BR>\n" );
document.write( "The ratio of left-handed to right-handed students is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F14=%28714-x%29%2Fx ALIGN=MIDDLE  ALT=\"3%2F14=%28714-x%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"Equating the cross products\"<BR>\n" );
document.write( "or multiplying both sides of the equal sign times {{x}}} and times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14 ALIGN=MIDDLE  ALT=\"14\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=%28714-x%29%2A14 ALIGN=MIDDLE  ALT=\"3x=%28714-x%29%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=9996-14x ALIGN=MIDDLE  ALT=\"3x=9996-14x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B14x=9996 ALIGN=MIDDLE  ALT=\"3x%2B14x=9996\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17x=9996 ALIGN=MIDDLE  ALT=\"17x=9996\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9996%2F17 ALIGN=MIDDLE  ALT=\"x=9996%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=588%29 ALIGN=MIDDLE  ALT=\"highlight%28x=588%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "AND ANOTHER WAY:<BR>\n" );
document.write( "The ratio of left-handed to right-handed students is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F14=3y%2F14y ALIGN=MIDDLE  ALT=\"3%2F14=3y%2F14y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the number of left-handed students is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y ALIGN=MIDDLE  ALT=\"3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "the number of right-handed students is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14y ALIGN=MIDDLE  ALT=\"14y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "then the total number of students is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B14y=17y ALIGN=MIDDLE  ALT=\"3y%2B14y=17y\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17y=714 ALIGN=MIDDLE  ALT=\"17y=714\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=714%2F14 ALIGN=MIDDLE  ALT=\"y=714%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=42 ALIGN=MIDDLE  ALT=\"y=42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the number of right-handed students is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14y=14%2A42 ALIGN=MIDDLE  ALT=\"14y=14%2A42\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14y=highlight%28588%29 ALIGN=MIDDLE  ALT=\"14y=highlight%28588%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );