document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393494>Question 393494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of eight white piano keys makes one octave. To find the complete number of octaves subtract one then divide by seven. How many octaves are on a keyboard with fifty white keys </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279250 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">We are looking at a total of 50 keys. <br>\r<BR>\n" );
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document.write( "They tell us to subtract 1 from that total, and divide by 7.<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50-1=49 ALIGN=MIDDLE  ALT=\"50-1=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2F7=7 ALIGN=MIDDLE  ALT=\"49%2F7=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Thus, there should be 7 complete octaves on a piano with 50 keys.<br>\r<BR>\n" );
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document.write( "It is easier to see this if you try to start from the beginning.<br>\r<BR>\n" );
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document.write( "8 keys = 1 complete octave  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-1=7 ALIGN=MIDDLE  ALT=\"8-1=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F7=1 ALIGN=MIDDLE  ALT=\"7%2F7=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "15 keys = 2 complete octaves  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-1=14 ALIGN=MIDDLE  ALT=\"15-1=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F7=2 ALIGN=MIDDLE  ALT=\"14%2F7=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "22 keys = 3 complete octaves  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-1=21 ALIGN=MIDDLE  ALT=\"22-1=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F7=3 ALIGN=MIDDLE  ALT=\"21%2F7=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "And so on....<br>\r<BR>\n" );
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document.write( "The reason this works the way it does is because the 8th key is not only the last key in the first octave, it is the first key in the second octave!<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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