document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198299>Question 198299</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618503080/algebrahomeworkh>Intermediate Algebra An Applied Approach</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea. The 15 pd mixture cost $40. A second mixture included 12 lb of the cinnamon tea and 8 lb of the spice tea. The 20 pd mixture cost $54. Find the cost per pound of the cinnamon tea and of the spice tea. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148764 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=148764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea.<BR>\n" );
document.write( " The 15 pd mixture cost $40.<BR>\n" );
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document.write( "A second mixture included 12 lb of the cinnamon tea and 8 lb of the spice tea.<BR>\n" );
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document.write( " The 20 pd mixture cost $54. Find the cost per pound of the cinnamon tea and of the spice tea.<BR>\n" );
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document.write( "Let c = cost/lb for cinnamon tea<BR>\n" );
document.write( "Let s = cost/lb for spice tea<BR>\n" );
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document.write( "Two equations<BR>\n" );
document.write( "10c + 5s = 40<BR>\n" );
document.write( "12c + 8s = 54<BR>\n" );
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document.write( "Multiply 1st equation by 8, the 2nd equation by 5, results:<BR>\n" );
document.write( "80c + 40s = 320<BR>\n" );
document.write( "60c + 40s = 270<BR>\n" );
document.write( "-------------------subtraction eliminates s, find c<BR>\n" );
document.write( "20c = 50<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F20 ALIGN=MIDDLE  ALT=\"50%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = $2.50 a lb for cinnamon tea<BR>\n" );
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document.write( "Find s, substitute 2.5 for c in the 1st equation<BR>\n" );
document.write( "25 + 5s = 40<BR>\n" );
document.write( "5s = 40 - 25<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F5 ALIGN=MIDDLE  ALT=\"15%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = $3 for spice tea<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check solution 2nd equation<BR>\n" );
document.write( "12(2.5) + 8(3) = <BR>\n" );
document.write( "30 + 24 = 54<BR>\n" );
document.write( " </SPAN>\n" );
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