document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967326>Question 967326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ben was in charge of ordering 30 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 $288 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 #591222 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=591222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ben was in charge of ordering 30 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 $288 on pizza, how many pizzas did he order?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "7c + 10p + 13s = 288<BR>\n" );
document.write( "c + p + s = 30<BR>\n" );
document.write( "7c = 2*10p<BR>\n" );
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document.write( "Modify::<BR>\n" );
document.write( "p = (7/20)c<BR>\n" );
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document.write( "Substitute for \"p\"::<BR>\n" );
document.write( "c + (7/20)c + s = 30<BR>\n" );
document.write( "7c + 10(7/20)c + 13s = 288<BR>\n" );
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document.write( "Rearrange::<BR>\n" );
document.write( "(27/20)c + s = 30<BR>\n" );
document.write( "(210/20)c + 13s = 288<BR>\n" );
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document.write( "Modify for elimination::<BR>\n" );
document.write( "(351/20)c + 13s = 390<BR>\n" );
document.write( "(210/20)c + 13s = 288<BR>\n" );
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document.write( "Subtract and solve for \"c\"::<BR>\n" );
document.write( "(141/20)c = 2<BR>\n" );
document.write( "141c = 40<BR>\n" );
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document.write( "Note:: These equations do not result in<BR>\n" );
document.write( "whole number solutions for c,p, and s.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );