document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186675>Question 186675</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A grocer makes a natural breakfast cereal by mixing oat cereal that cost $2 per pound with dried fruit and nuts that cost $9 per pound. How many pounds of each are needed to make 60 pounds of the cereal if it will sell for $ 7 per pound and yield a prifit of $ 195 after the entire 60 pounds is sold. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139948 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A grocer makes a natural breakfast cereal by mixing oat cereal that cost $2 per<BR>\n" );
document.write( " pound with dried fruit and nuts that cost $9 per pound. How many pounds of each<BR>\n" );
document.write( " are needed to make 60 pounds of the cereal if it will sell for $7 per pound<BR>\n" );
document.write( " and yields a profit of $195 after the entire 60 pounds is sold.<BR>\n" );
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document.write( "Let x = amt of $9 stuff<BR>\n" );
document.write( "The required total is 60 lb, therefore:<BR>\n" );
document.write( "(60-x) = amt of $2 stuff<BR>\n" );
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document.write( "Find the original cost of the 60 lb mixture<BR>\n" );
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document.write( "(60*7) - 195 = $225 is his cost for 60 lb<BR>\n" );
document.write( "which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225%2F60 ALIGN=MIDDLE  ALT=\"225%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $3.75 cost per lb<BR>\n" );
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document.write( "The mixture equation:<BR>\n" );
document.write( "9x + 2(60-x) = 3.75(60)<BR>\n" );
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document.write( "9x + 120 - 2x = 225<BR>\n" );
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document.write( "9x - 2x = 225 - 120<BR>\n" );
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document.write( "7x = 105<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2F7 ALIGN=MIDDLE  ALT=\"105%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 15 lb of $9 stuff<BR>\n" );
document.write( "then<BR>\n" );
document.write( "60 - 15 = 45 lb of $2 stuff<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "9(15) + 2(45) =<BR>\n" );
document.write( "135 + 90 = 225<BR>\n" );
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document.write( "60*7 = 420 - 225 = $195 profit<BR>\n" );
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