document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620082>Question 620082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help i'd greatly appreciate it!\r<BR>\n" );
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document.write( "Bob has a coin jar containing nickels, quarters, and one dollar coins.  He has a total of 44 coins totaling $9.75. And, he has five times as many nickels as he has one dollar coins. How many of each coin does he have?\r<BR>\n" );
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document.write( "Write a system of equations that can be used to solve this problem. Define what your variables represent. (Nickel $.05, Quarter $.25)\r<BR>\n" );
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document.write( "Thanks you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389901 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20065)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please Help i'd greatly appreciate it!\r<BR>\n" );
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document.write( "Bob has a coin jar containing nickels, quarters, and one dollar coins.  He has a total of 44 coins totaling $9.75. And, he has five times as many nickels as he has one dollar coins. How many of each coin does he have?\r<BR>\n" );
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document.write( "Write a system of equations that can be used to solve this problem. Define what your variables represent. (Nickel $.05, Quarter $.25)\r<BR>\n" );
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document.write( "Thanks you!<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let the number of dollar coins be D\r\n" );
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document.write( ">>...he has five times as many nickels as he has one dollar coins...<<<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "So the number of nickels is 5D\r\n" );
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document.write( "Let Q = the number of quarters.\r\n" );
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document.write( ">>...He has a total of 44 coins...<<<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Therefore\r\n" );
document.write( "D + 5D + Q = 44  or\r\n" );
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document.write( "6D + Q = 44\r\n" );
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document.write( ">>...totaling $9.75...<<<BR>\n" );
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document.write( "So \r\n" );
document.write( "1.00D + .25Q + .05(5D) = 9.75   or\r\n" );
document.write( "   1.00D + .25Q + .25D = 9.75   or multiplying through by 100,\r\n" );
document.write( "      100D + 25Q + 25D = 975    or combining like terms\r\n" );
document.write( "            125D + 25Q = 975    or dividing through by 25\r\n" );
document.write( "                5D + Q = 39\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "6D + Q = 44\r\n" );
document.write( "5D + Q = 39\r\n" );
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document.write( "Solve that system and get D=5, Q=14   \r\n" );
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document.write( "So there are 5 dollar coins, 14 quarters, and since the number\r\n" );
document.write( "of nickels is 5D, that's 5(5) or 25 nickels.\r\n" );
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document.write( "Edwin</PRE><BR>\n" );
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