document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874979>Question 874979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three of Carlos’ and Amy's friends are purchasing school supplies at the bookstore.Stan buys a notebook, three packages of pencils and two markers for $7.50.  <BR>\n" );
document.write( "Jan buys two notebooks, six <BR>\n" );
document.write( "packages of pencils and five markers for $15.50.  <BR>\n" );
document.write( "Fran buys a notebook, two packages of pencils and <BR>\n" );
document.write( "two markers for $6.25. How much do each of these three items cost? \r<BR>\n" );
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document.write( "Explain in words or with symbols how you can use your intuitive reasoning about these purchases <BR>\n" );
document.write( "to find the price of each item.\r<BR>\n" );
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document.write( "Note:so far I've tired the following prices and they did not work notebook:$1.25,$1.30,$1.00,Package of pencils:$1.50 Markers:$1.00,0.50,0.80 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527903 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=527903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let n be notebooks, p be packages of pencils, m be markers, then<BR>\n" );
document.write( "Stan  n + 3p + 2m = $ 7.50<BR>\n" );
document.write( "Jan  2n + 6p + 5m = $15.50<BR>\n" );
document.write( "Fran  n + 2p + 2m = $ 6.25<BR>\n" );
document.write( "let's subtract Fran from Stan and we get<BR>\n" );
document.write( "p = $1.25<BR>\n" );
document.write( "rewrite the three equations substituting for p<BR>\n" );
document.write( "Stan  n + 3(1.25) + 2m =  7.50<BR>\n" );
document.write( "Jan  2n + 6(1.25) + 5m = 15.50<BR>\n" );
document.write( "Fran  n + 2(1.25) + 2m =  6.25<BR>\n" );
document.write( "rewrite the three equations now with 2 variables<BR>\n" );
document.write( "Stan  n + 2m = 3.75<BR>\n" );
document.write( "Jan  2n + 5m = 8.00<BR>\n" );
document.write( "Fran  n + 2m = 3.75<BR>\n" );
document.write( "Note that Fran and Stan are the same now, so we use only one<BR>\n" );
document.write( "Stan/Fran  n + 2m = 3.75<BR>\n" );
document.write( "Jan       2n + 5m = 8.00<BR>\n" );
document.write( "now we multiply Stan/Fran by 2<BR>\n" );
document.write( "Stan/Fran 2n + 4m = 7.50<BR>\n" );
document.write( "Jan       2n + 5m = 8.00<BR>\n" );
document.write( "now subtract Stan/Fran from Jan<BR>\n" );
document.write( "m = $.50<BR>\n" );
document.write( "we now have p = $1.25 and m = $.50<BR>\n" );
document.write( "let's substitute in Stan to get n<BR>\n" );
document.write( "n + 3(1.25) + 2(0.50) = 7.50<BR>\n" );
document.write( "n + 4.75 = 7.50<BR>\n" );
document.write( "n = $2.75<BR>\n" );
document.write( "therefore we have the following<BR>\n" );
document.write( "n = $2.75, p = $1.25, m = $.50<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );