document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131748>Question 1131748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During a fundraiser, you will be trying to sell three types of candy. Chocolate bars are $3 each, nutty bars are $2.50 each, and caramel chocolate bars cost $4 each. You sell a total of 1,000 bars and collect $3,225. The number of caramel chocolate bars sold was 100 less than twice the number chocolate bars. Find the number of each type of candy bar that was sold<BR>\n" );
document.write( " Please help me with setting up 3 equations\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748411 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=748411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  During a fundraiser, you will be trying to sell three types of candy.<BR>\n" );
document.write( "a,b,c; chocolate, nutty, caramel Choc<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Chocolate bars are $3 each, nutty bars are $2.50 each, and caramel chocolate bars cost $4 each.<BR>\n" );
document.write( " You sell a total of 1,000 bars and collect $3,225.<BR>\n" );
document.write( "a + b + c = 1000<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3a + 2.5b + 4c = 3225<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The number of caramel chocolate bars sold was 100 less than twice the number chocolate bars.<BR>\n" );
document.write( "c = 2a - 100<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2a - c = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Find the number of each type of candy bar that was sold.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the first two equations to eliminate b<BR>\n" );
document.write( "multiply the 2nd equation by 2, multiply the first equation by 5<BR>\n" );
document.write( "6a + 5b + 8c = 6450<BR>\n" );
document.write( "5a + 5b + 5c = 5000<BR>\n" );
document.write( "-------------------------subtraction eliminates b<BR>\n" );
document.write( "a + 0  + 3c = 1450<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply the 3rd equation by 3, pair with the above equation<BR>\n" );
document.write( "6a -3c = 300<BR>\n" );
document.write( "a + 3c = 1450<BR>\n" );
document.write( "----------------adding eliminates c, find a<BR>\n" );
document.write( "7a + 0 = 1750<BR>\n" );
document.write( "a = 1750/7<BR>\n" );
document.write( "a = 250 Chocolates sold<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you find b and c, check your solutions in all three equations\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );