document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026996>Question 1026996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A photocopier increases the sides of a square in the ratio 2:3. What percentage increase is this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642276 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=642276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the length of the side of the original square.<BR>\n" );
document.write( "let b = the length of the side of the increased square.\r<BR>\n" );
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document.write( "you get the ratio a/b = 2/3.\r<BR>\n" );
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document.write( "solve for b to get b = 3/2 * a.\r<BR>\n" );
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document.write( "since 3/2 = 1.5, then you get b = 1.5 * a\r<BR>\n" );
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document.write( "b is 1.5 * the size of a.\r<BR>\n" );
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document.write( "the increase is calculated by subtracting a from b.\r<BR>\n" );
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document.write( "b - a is equivalent to 1.5 * a - a because b = 1.5 * a.\r<BR>\n" );
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document.write( "1.5 * a - a becomes equal to .5 * a.\r<BR>\n" );
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document.write( "the increase is .5 * a which is equivalent to 50% * a.\r<BR>\n" );
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document.write( "a is increased by 50% of a to get b which is equal to 150% of a.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "assuming a is equal to 10.\r<BR>\n" );
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document.write( "it is increased by 50% of 10 which means it is increased by 5.\r<BR>\n" );
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document.write( "the new side length is 10 + 5 = 15.\r<BR>\n" );
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document.write( "the new side length is equal to 150% of 10 which is equal to 1.5 * 10 which is equal to 15.\r<BR>\n" );
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