document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040893>Question 1040893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ben was in charge of ordering 32 pizzas for the office party. He ordered three types of pizza: Cheese, pepperoni and supreme. The cheese pizza cost $7 each, the pepperoni pizza cost $10 each, and the supreme pizza cost $13 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $314 on pizza, how many pizzas did he order? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655821 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel555><B>jorel555(1290)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel555><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let c=cheese pizza, p=pepperoni pizza, and s=supreme pizza. Then<BR>\n" );
document.write( "c+p+s=32<BR>\n" );
document.write( "7c+10p+13s=314<BR>\n" );
document.write( "10p=2(7c);10p=14c<BR>\n" );
document.write( "10c+10p+10s=320<BR>\n" );
document.write( "7c+10p+13s=314<BR>\n" );
document.write( "3c-3s=6;<BR>\n" );
document.write( "7c+14c+13s=314<BR>\n" );
document.write( "21c+13s=314<BR>\n" );
document.write( "21c-21s=42<BR>\n" );
document.write( "Subtracting the last equation from the second-to-last, we get<BR>\n" );
document.write( "34s=272<BR>\n" );
document.write( "s=8 supreme pizzas<BR>\n" );
document.write( "p=14 pepperoni pizzas<BR>\n" );
document.write( "c=10 cheese pizzas &#9786;&#9786;&#9786;&#9786;\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );