document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174429>Question 174429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Susie,Joey and Linda went to the carnival. Susie brought 2 funnel cakes and a cotton candy for $13. Joey brought a funnel cake, a cotton candy, and a large soda for $12. Linda brought 2 bags of cotton candy and a large soda for $10. How much did each item cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129425 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=129425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Susie,Joey and Linda went to the carnival. Susie brought 2 funnel cakes and a cotton candy for $13. Joey brought a funnel cake, a cotton candy, and a large soda for $12. Linda brought 2 bags of cotton candy and a large soda for $10. How much did each item cost<BR>\n" );
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document.write( "Let f = cost of a funnel cake<BR>\n" );
document.write( "Let c = cost of cotton candy<BR>\n" );
document.write( "Let s = cost of a soda<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"Susie brought 2 funnel cakes and a cotton candy for $13.\"<BR>\n" );
document.write( "2f + c = 13<BR>\n" );
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document.write( "\" Joey brought a funnel cake, a cotton candy, and a large soda for $12.\"<BR>\n" );
document.write( "f + c + s = 12<BR>\n" );
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document.write( "\"Linda brought 2 bags of cotton candy and a large soda for $10.\"<BR>\n" );
document.write( "2c + s = 10<BR>\n" );
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document.write( " How much did each item cost<BR>\n" );
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document.write( "Arrange the equations like this:<BR>\n" );
document.write( "2f + c + 0s = 13<BR>\n" );
document.write( " f + c + s = 12<BR>\n" );
document.write( "0f +2c + s = 10<BR>\n" );
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document.write( "Multiply the last equation by -1 and add the three equation:<BR>\n" );
document.write( "2f + c + 0s = 13<BR>\n" );
document.write( " f + c + s = 12<BR>\n" );
document.write( "0f -2c - s = -10<BR>\n" );
document.write( "------------------ addition eliminates c and s, find f<BR>\n" );
document.write( "3f = 15<BR>\n" );
document.write( "f = $5 for a funnel cake<BR>\n" );
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document.write( "Using the 1st equation<BR>\n" );
document.write( "2(5) + c = 13<BR>\n" );
document.write( "c = 13 - 10<BR>\n" );
document.write( "c = $3 for cotton candy<BR>\n" );
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document.write( "I'll let you find the cost of a soda:<BR>\n" );
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document.write( "Check the solutions in the original equations<BR>\n" );
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