document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443255>Question 443255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two whole numbers. When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 15. Also, the larger number is 97.5% of ten times the smaller. If x is the larger number and y is the smaller number, express the given information in equations in terms of x and y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305748 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the larger; y the smaller.\r<BR>\n" );
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document.write( "Let's divide two random numbers:\r<BR>\n" );
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document.write( "11 |  57\r<BR>\n" );
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document.write( "11 goes into 57  5 times.\r<BR>\n" );
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document.write( "So the quotient is 5, with a remainder of 2.\r<BR>\n" );
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document.write( "We can express this as 5 + 2/11.\r<BR>\n" );
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document.write( "To check that we can express it in this way:\r<BR>\n" );
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document.write( "(5+2/11) * 11 = 55 +2 = 57.\r<BR>\n" );
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document.write( "Using this fact we can take x/y as\r<BR>\n" );
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document.write( "x/y =  Q + R\r<BR>\n" );
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document.write( "We know Q = 9 \r<BR>\n" );
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document.write( "and R = 15/y.\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2Fy+=+9+%2B+15%2Fy%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2Fy+=+9+%2B+15%2Fy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+.975+%2A+10y%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+.975+%2A+10y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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