document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009273>Question 1009273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am very stuck.  I can't figure out how to solve this.  I know it involves pythagorean theorem, but I don't know how to solve it without legs.   Can you help me, please?\r<BR>\n" );
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document.write( "There are two tvs of different sizes.  One is a 42\" diagonal TV that costs $420, the other is a 50\" diagonal tv that costs $550.  The aspect ratio of each is 16:9, width to height.  What is the cost per square inch of each tv?\r<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624767 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=624767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w for width, y for height;<BR>\n" );
document.write( "Express the ratios as  w/y for \"width to height\".  This is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F9 ALIGN=MIDDLE  ALT=\"16%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Further,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Fy=16%2F9 ALIGN=MIDDLE  ALT=\"w%2Fy=16%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > applies to each of the TVs.\r<BR>\n" );
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document.write( "Each TV can be cut along a diagonal to form two right triangles, of legs w and y, and the diagonal is hypotenuse.\r<BR>\n" );
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document.write( "The 42 inch,  $420 TV<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w%5E2%2By%5E2=42%5E2%2Cw%2Fy=16%2F9%29 ALIGN=MIDDLE  ALT=\"system%28w%5E2%2By%5E2=42%5E2%2Cw%2Fy=16%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w%5E2%2By%5E2=42%5E2%2Cw=16y%2F9%29 ALIGN=MIDDLE  ALT=\"system%28w%5E2%2By%5E2=42%5E2%2Cw=16y%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816y%2F9%29%5E2%2By%5E2=42%5E2 ALIGN=MIDDLE  ALT=\"%2816y%2F9%29%5E2%2By%5E2=42%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2816%2F9%2B1%29%5E2=42%5E2 ALIGN=MIDDLE  ALT=\"y%5E2%2816%2F9%2B1%29%5E2=42%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2F9%29%5E2%2Ay%5E2=42%5E2 ALIGN=MIDDLE  ALT=\"%2825%2F9%29%5E2%2Ay%5E2=42%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=%289%2F25%29%5E2%2A42%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=%289%2F25%29%5E2%2A42%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%289%2A42%29%2F25 ALIGN=MIDDLE  ALT=\"y=%289%2A42%29%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=225%2F42%29 ALIGN=MIDDLE  ALT=\"highlight%28y=225%2F42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use the aspect ratio again.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%2816%2F9%29%2Ay ALIGN=MIDDLE  ALT=\"w=%2816%2F9%29%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%2816%2F9%29%28225%2F42%29 ALIGN=MIDDLE  ALT=\"w=%2816%2F9%29%28225%2F42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=16%2A25%2F42 ALIGN=MIDDLE  ALT=\"w=16%2A25%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=8%2A25%2F21 ALIGN=MIDDLE  ALT=\"w=8%2A25%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=200%2F21 ALIGN=MIDDLE  ALT=\"w=200%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=200%2F21%29 ALIGN=MIDDLE  ALT=\"highlight%28w=200%2F21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The area for this TV screen is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Ay=%28200%2F21%29%28225%2F42%29=%28100%2A225%29%2F%2821%2A21%29 ALIGN=MIDDLE  ALT=\"w%2Ay=%28200%2F21%29%28225%2F42%29=%28100%2A225%29%2F%2821%2A21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wy=22500%2F21%5E2 ALIGN=MIDDLE  ALT=\"wy=22500%2F21%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28wy=51.02%29 ALIGN=MIDDLE  ALT=\"highlight%28wy=51.02%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > square inches<BR>\n" );
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document.write( "The cost per square inch is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2F51.02=highlight%28highlight%288.23%28dollars%2FsquareInch%29%29%29 ALIGN=MIDDLE  ALT=\"420%2F51.02=highlight%28highlight%288.23%28dollars%2FsquareInch%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The 50 inch, $550 TV<BR>\n" );
document.write( "Can you do this one? </SPAN>\n" );
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