document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242627>Question 242627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a stairway there are 36 steps of equal height. If each step were 1 inch higher,<BR>\n" );
document.write( "there would have been 32steps. How high is each step?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177635 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 36 steps of size x<BR>\n" );
document.write( "32 steps of size (x+1)\r<BR>\n" );
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document.write( "since the vertical distance is the same, this means that:\r<BR>\n" );
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document.write( "36*x = 32*(x+1)\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "36*x = 32*x + 32\r<BR>\n" );
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document.write( "subtract 32*x from both sides to get:\r<BR>\n" );
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document.write( "4*x = 32\r<BR>\n" );
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document.write( "divide both sides fo 4 to get:\r<BR>\n" );
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document.write( "x = 8\r<BR>\n" );
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document.write( "x + 1 = 9\r<BR>\n" );
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document.write( "36*8 = 288 feet.\r<BR>\n" );
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document.write( "32*9 = 288 feet.\r<BR>\n" );
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document.write( "same elevation so we should be good.\r<BR>\n" );
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