document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077739>Question 1077739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An amount of Rs. 8750 is made up with the notes of denominations Rs. 100, 50, 20, and 10. The number of Rs. 10 notes are 4 times the number of Rs. 20 notes. The number of Rs. 20 notes are 3 times the number of Rs. 50 notes. The number of Rs. 50 notes are 5 times the number of Rs. 100 notes. How many total notes of denomination Rs. 100 are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692231 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=692231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = number of 100 rs notes.<BR>\n" );
document.write( "let b = number of 50 rs notes.<BR>\n" );
document.write( "let c = number of 20 rs notes.<BR>\n" );
document.write( "let d= number of 10 rs notes.\r<BR>\n" );
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document.write( "d = 4c (number of 10 rs notes = 4 * number of 20 rs notes)<BR>\n" );
document.write( "c = 3b (number of 20 rs notes = 3 * number of 50 rs notes)<BR>\n" );
document.write( "b = 5a (number of 50 rs notes =5 * number of 100 rs notes)\r<BR>\n" );
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document.write( "your equation is 100a + 50b + 20c + 10d = 8750\r<BR>\n" );
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document.write( "replace d with 4c and the equation becomes 100a + 50b + 20c + 10*4c = 8750\r<BR>\n" );
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document.write( "simplify to get 100a +50b + 20c + 40c = 8750\r<BR>\n" );
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document.write( "combine like terms to get 100a + 50b + 60c = 8750\r<BR>\n" );
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document.write( "replace c with 3b to get 100a + 50b + 60*3b = 8750\r<BR>\n" );
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document.write( "simplify to get 100a + 50b + 180b = 8750\r<BR>\n" );
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document.write( "combine like terms to get 100a + 230b = 8750\r<BR>\n" );
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document.write( "replace b with 5a to get 100a + 230*5a = 8750\r<BR>\n" );
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document.write( "simplify to get 100a + 1150a = 8750\r<BR>\n" );
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document.write( "combine like terms to get 1250a = 8750\r<BR>\n" );
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document.write( "solve for a to get a = 8750 / 1250 = 7\r<BR>\n" );
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document.write( "you were given:\r<BR>\n" );
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document.write( "d = 4c (number of 10 rs notes = 4 * number of 20 rs notes)<BR>\n" );
document.write( "c =3b (number of 20rs notes = 3 * number of 50 rs notes)<BR>\n" );
document.write( "b = 5a (number of 50 rs notes = 5 * number of 100 rs notes)\r<BR>\n" );
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document.write( "based on that, you can calculate:\r<BR>\n" );
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document.write( "a = 7<BR>\n" );
document.write( "b = 5 * 7 = 35<BR>\n" );
document.write( "c = 3 * 35 = 105<BR>\n" );
document.write( "d = 5 * 105 = 420\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "a = 7<BR>\n" );
document.write( "b = 35<BR>\n" );
document.write( "c = 105<BR>\n" );
document.write( "d = 420\r<BR>\n" );
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document.write( "your original equation was 100a + 50b + 20c + 10d = 8750\r<BR>\n" );
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document.write( "replace all the variable with their values to get:\r<BR>\n" );
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document.write( "100*7 + 50*35 + 20*105 + 10*420 = 8750\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "700 + 1750 + 2100 + 4200 = 8750\r<BR>\n" );
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document.write( "combine like terms to get 8750 = 8750\r<BR>\n" );
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document.write( "since this is true, then your values for each of the variables involved is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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