document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154426>Question 154426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> samantha charges $27.28 for 14 tacos and 6 buritos and $18.52 for 8 tacos and 6 burritos determine the cost of one burrito and one taco </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113720 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> samantha charges $27.28 for 14 tacos and 6 buritos and $18.52 for 8 tacos and 6 burritos determine the cost of one burrito and one taco<BR>\n" );
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document.write( "Assign variables to things you don't know:<BR>\n" );
document.write( "Let t = cost of a taco<BR>\n" );
document.write( "and b = cost of a burrito<BR>\n" );
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document.write( "Since you have two unknowns, you'll need to find two equations.<BR>\n" );
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document.write( "From: \"samantha charges $27.28 for 14 tacos and 6 burritos\" we get equation 1:<BR>\n" );
document.write( "14t + 6b = 27.28<BR>\n" );
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document.write( "From: \"$18.52 for 8 tacos and 6 burritos\" we get equation 2:<BR>\n" );
document.write( "8t  + 6b = 18.52<BR>\n" );
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document.write( "The two equations are:<BR>\n" );
document.write( "14t + 6b = 27.28<BR>\n" );
document.write( "8t  + 6b = 18.52<BR>\n" );
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document.write( "If we were to multiply both sides of equation by a -1 we'll get:<BR>\n" );
document.write( "14t + 6b = 27.28<BR>\n" );
document.write( "-8t - 6b =-18.52<BR>\n" );
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document.write( "We can now ADD the two equations to eliminate b's:<BR>\n" );
document.write( "14t + 6b = 27.28<BR>\n" );
document.write( "-8t - 6b =-18.52<BR>\n" );
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document.write( " 6t      = 8.76<BR>\n" );
document.write( "Dividing both sides by 6:<BR>\n" );
document.write( " t = $1.46  (cost of a taco)<BR>\n" );
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document.write( "Plug the above into equation 2 and solve for b:<BR>\n" );
document.write( "8t  + 6b = 18.52<BR>\n" );
document.write( "8(1.46)  + 6b = 18.52<BR>\n" );
document.write( "11.68 + 6b = 18.52<BR>\n" );
document.write( "6b = 6.84<BR>\n" );
document.write( "b = $1.14 (cost of a burrito)<BR>\n" );
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