document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033682>Question 1033682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of equations to model each situation. Then use your system to solve.\r<BR>\n" );
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document.write( "1) A writing workshop enrolls novelists and poets in a ration of 5 to 3. There are 24 people at the workshop. How many novelists are there? How many poets?\r<BR>\n" );
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document.write( "2) You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many of each coin do you have?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648337 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a system of equations to model each situation. Then use your system to solve. <BR>\n" );
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document.write( "1) A writing workshop enrolls novelists and poets in a ration of 5 to 3. There are 24 people at the workshop. How many novelists are there? How many poets?<BR>\n" );
document.write( "# of novelists = 5x<BR>\n" );
document.write( "# of poets = 3x<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "5x + 3x = 24<BR>\n" );
document.write( "8x = 24<BR>\n" );
document.write( "x = 3<BR>\n" );
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document.write( "# of novelists = 5x = 5*3 = 15<BR>\n" );
document.write( "# of poets = 3x = 3*3 = 9<BR>\n" );
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document.write( "2) You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many of each coin do you have?<BR>\n" );
document.write( "Quantity Eq:: n + q = 15 coins<BR>\n" );
document.write( "Value Eq::   5n+25q = 275 cents<BR>\n" );
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document.write( "n + q = 15<BR>\n" );
document.write( "n + 5q = 55<BR>\n" );
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document.write( "Subtract and solve for \"q\"::<BR>\n" );
document.write( "4q = 40<BR>\n" );
document.write( "q = 10 (# of quarters)<BR>\n" );
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document.write( "n = 15-10 = 5 (# of nickels)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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