document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120155>Question 1120155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Postmaster sells stamps usually in the proportion of fifteen 5 - centavo stamps to every six 6- centavo stamps and to every four 30 - centavo stamps in ordering 15,000 of these stamps, how many more 5 - centavo than 6 - centavo stamps should be ordered? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735809 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=735809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he sells 15 five centavo stamps for every 6 six centavo stamps and every 4 thirty centavo stamps.\r<BR>\n" );
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document.write( "let x represent the number of five centavo stamps.<BR>\n" );
document.write( "let y represent the number of six centavo stamps.<BR>\n" );
document.write( "let z represent the number of thirty centavo stamps.\r<BR>\n" );
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document.write( "the ratio of five centavo stamps to six centavo stamps is 15/6, therefore:\r<BR>\n" );
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document.write( "x/y = 15/6<BR>\n" );
document.write( "cross multiply to get 6x = 15y<BR>\n" );
document.write( "solve for y to get y = 6x/15.\r<BR>\n" );
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document.write( "the ratio of five centavo stamps to thirty centavo stamps is 15/4, therefore:\r<BR>\n" );
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document.write( "x/z = 15/4<BR>\n" );
document.write( "cross multiply to get 4x = 15z<BR>\n" );
document.write( "solve for z to get z = 4x/15\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "x = x<BR>\n" );
document.write( "y = 6x/15<BR>\n" );
document.write( "z = 4x/15\r<BR>\n" );
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document.write( "since he bought a total of 15000 stamps, then:\r<BR>\n" );
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document.write( "x + y + z = 15000\r<BR>\n" );
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document.write( "replace y with 6x/15 and z with 4x/15 to get:\r<BR>\n" );
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document.write( "x + 6x/15 + 4x/15 = 15000\r<BR>\n" );
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document.write( "multiply both sides of this equation by 15 to get:\r<BR>\n" );
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document.write( "15x + 6x + 4x = 15000 * 15\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "25x = 15000 * 15\r<BR>\n" );
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document.write( "divide both sides of this equation by 25 to get:\r<BR>\n" );
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document.write( "x = 15000 * 15 / 25\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 9000\r<BR>\n" );
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document.write( "since y = 6x/15, then y = 6*9000/15 = 3600\r<BR>\n" );
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document.write( "since z = 4x/15, then z = 4*9000/15 = 2400.\r<BR>\n" );
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document.write( "x + y + z = 15000 becomes 9000 + 3600 + 2400 = 15000 which becomes 15000 = 15000 which is true.\r<BR>\n" );
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document.write( "x/y = 9000/3600 = 2.5 and 15/6 = 2.5, therefore 9000/3600 = 15/6.\r<BR>\n" );
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document.write( "x/z = 9000/2400 = 3.75 and 15/4 = 3.75, therefore 9000/2400 = 15/4.\r<BR>\n" );
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document.write( "the solution looks good when x = 9000 and y = 3600 and z = 2400.\r<BR>\n" );
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document.write( "that means he should buy 9000 five centavo stamps and 3600 six centavo stamps and 2400 thirty centavo stamps.\r<BR>\n" );
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document.write( "9000 minus 3600 = 5400.\r<BR>\n" );
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document.write( "therefore, he should buy 5400 more five centavo stamps than six centavo stamps is your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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