document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164991>Question 164991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121595 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=121595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=# of boy seniors and y=# of girl seniors\r<BR>\n" );
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document.write( "Since there are 357 seniors, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=357 ALIGN=MIDDLE  ALT=\"x%2By=357\"   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=y=357-x ALIGN=MIDDLE  ALT=\"y=357-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x from both sides to solve for y\r<BR>\n" );
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document.write( "Now the ratio 7:10 can be written as the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F10 ALIGN=MIDDLE  ALT=\"7%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Also, the ratio of x boys to y girls is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since these two ratios are equivalent, this tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=7%2F10 ALIGN=MIDDLE  ALT=\"x%2Fy=7%2F10\"   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=x%2Fy=7%2F10 ALIGN=MIDDLE  ALT=\"x%2Fy=7%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the previous ratio\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28357-x%29=7%2F10 ALIGN=MIDDLE  ALT=\"x%2F%28357-x%29=7%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=357-x ALIGN=MIDDLE  ALT=\"y=357-x\"   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=10x=7%28357-x%29 ALIGN=MIDDLE  ALT=\"10x=7%28357-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=2499-7x ALIGN=MIDDLE  ALT=\"10x=2499-7x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B7x=2499 ALIGN=MIDDLE  ALT=\"10x%2B7x=2499\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x ALIGN=MIDDLE  ALT=\"7x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17x=2499 ALIGN=MIDDLE  ALT=\"17x=2499\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282499%29%2F%2817%29 ALIGN=MIDDLE  ALT=\"x=%282499%29%2F%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x=147 ALIGN=MIDDLE  ALT=\"x=147\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce. So this means that there are 147 boys in the senior class\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=357-x ALIGN=MIDDLE  ALT=\"y=357-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the previously isolated equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=357-147 ALIGN=MIDDLE  ALT=\"y=357-147\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=147 ALIGN=MIDDLE  ALT=\"x=147\"   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=y=210 ALIGN=MIDDLE  ALT=\"y=210\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract. So there are 210 girls in the senior class\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "There are 147 boys and 210 girls in the senior class\r<BR>\n" );
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document.write( "Note: the ratio of 147 boys to 210 girls reduces to 7 boys to 10 girls </SPAN>\n" );
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