document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100734>Question 1100734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $19.10 per pound should be mixed with trail mix costing $4.10 per pound to create a 31 pound mixture worth $8.94 per pound. (round to the nearest pound) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715266 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 31*8.94 =277.14 total \r<BR>\n" );
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document.write( "We know the total lbs of the candy. 31<BR>\n" );
document.write( "x+y=31<BR>\n" );
document.write( "We know that the total cost for the candy is 277.14<BR>\n" );
document.write( "19.10*x+4.10*y= 277.14<BR>\n" );
document.write( "x=31-y<BR>\n" );
document.write( "We substitute for x<BR>\n" );
document.write( "19.10*(31-y)+4.10*y= 277.14<BR>\n" );
document.write( "We multiply out <BR>\n" );
document.write( "592.1-19.10*y+4.10*y= 277.14<BR>\n" );
document.write( "We combine like terms.<BR>\n" );
document.write( "-15*y=277.14-592.1<BR>\n" );
document.write( "-15*y=-314.96<BR>\n" );
document.write( "-15*y=-314.96<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( "y=-314.96/-15<BR>\n" );
document.write( "y=20.9973333333333 lbs chocolate candy at $ 4.10 $ is-worth $86.0890666666667<BR>\n" );
document.write( "Calculate x<BR>\n" );
document.write( "x=31-20.9973333333333 <BR>\n" );
document.write( "x=10.0026666666667 lbs trail candy at $ 19.10 $ is-worth $191.050933333333<BR>\n" );
document.write( "We check<BR>\n" );
document.write( "19.10*10.0026666666667+4.10*20.9973333333333=277.14<BR>\n" );
document.write( "191.050933333333+86.0890666666667=277.14<BR>\n" );
document.write( "277.14=277.14<BR>\n" );
document.write( "Since 277.14 = 277.14 is TRUE, all is well </SPAN>\n" );
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