document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092588>Question 1092588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A photographer increases the side of a square in the ratio 4:5. By what percentage are the sides increased? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707212 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=707212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the original length of the side of the square.<BR>\n" );
document.write( "let y equal the new length of the side of the square.\r<BR>\n" );
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document.write( "you get x/y = 4/5\r<BR>\n" );
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document.write( "cross multiply to get 5x = 4y\r<BR>\n" );
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document.write( "solve for y to get y = 5x/4 = 5/4 * x\r<BR>\n" );
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document.write( "5/4 * x is equivalent to (4/4 + 1/4) * x which is equal to 1 * x + 1/4 * x.\r<BR>\n" );
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document.write( "the original length of the side is increased by 1/4 * the length of the original side.\r<BR>\n" );
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document.write( "that would be equal to 25% of the length of the original side.\r<BR>\n" );
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document.write( "another way of getting to the same answer is:\r<BR>\n" );
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document.write( "y = 5/4 * x = 1.25 * x\r<BR>\n" );
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document.write( "increase percent is equal to (1.25 * x - x) / x = .25.\r<BR>\n" );
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document.write( "multiply that by 100 to 25%.\r<BR>\n" );
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document.write( "assume the original length of the side is 100.\r<BR>\n" );
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document.write( "increase that by 25% and the length of the new side is 125.\r<BR>\n" );
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document.write( "the ratio of the original length to the new length is 100 / 125 which simplifies to 4/5 when you divide both numerator and denominator by 25.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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