document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150833>Question 150833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Systems of Equations and Inequalities<BR>\n" );
document.write( "i)	Problem: The students from algebra class go for coffee together every day at 9:00 AM. On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts. On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts. <BR>\n" );
document.write( "(1)	Set up a system of equations to model this scenario.<BR>\n" );
document.write( "(2)	Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.<BR>\n" );
document.write( "(3)	If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?  <BR>\n" );
document.write( "(4)  Explain the problem and the steps to solve this problem\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110762 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=110762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3m + 4c + 7d = 5.45<BR>\n" );
document.write( "4m + 2c + 8d = 5.30<BR>\n" );
document.write( "2m + 5c + 6d = 5.15 <BR>\n" );
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document.write( "subtract 3rd equation from 1st to get:<BR>\n" );
document.write( "m - c + d = 0.30<BR>\n" );
document.write( "4m + 2c + 8d = 5.30<BR>\n" );
document.write( "2m + 5c + 6d = 5.15 <BR>\n" );
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document.write( "subtract 4 times 1st from 2nd; <BR>\n" );
document.write( "subtract 2 times 1st from 3rd:<BR>\n" );
document.write( "m - c + d = 0.30<BR>\n" );
document.write( "0 + 6c + 4d = 4.10<BR>\n" );
document.write( "0 + 7c + 4d = 4.55<BR>\n" );
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document.write( "interchange 2nd and 3rd to get:<BR>\n" );
document.write( "m - c + d = 0.30<BR>\n" );
document.write( "0 + 7c + 4d = 4.55<BR>\n" );
document.write( "0 + 6c + 4d = 4.10<BR>\n" );
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document.write( "subtract 3rd from 2nd to get:<BR>\n" );
document.write( "m - c + d = 0.30<BR>\n" );
document.write( "0 + c + 0 = 0.45<BR>\n" );
document.write( "0 + 6c + 4d = 4.10<BR>\n" );
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document.write( "At this point you can see that c = 0.45<BR>\n" );
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document.write( "Subtitute that into the 3rd equation to solve for \"d\":<BR>\n" );
document.write( "6(0.45) + 4d = 4.10<BR>\n" );
document.write( "2.7 + 4d = 4.10<BR>\n" );
document.write( "4d = 1.40 <BR>\n" );
document.write( "d = 0.35<BR>\n" );
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document.write( "Substitute the values of c and d into the 1st equation to solve for \"m\":<BR>\n" );
document.write( "m - 0.45 + 0.35 = 0.30<BR>\n" );
document.write( "m - 0.10 = 0.30<BR>\n" );
document.write( "m = 0.40<BR>\n" );
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document.write( "one mild costs 40 cents<BR>\n" );
document.write( "one coffee costs 45 cents<BR>\n" );
document.write( "one doughnut costs 35 cents<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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