document.write( "Question 1097012: Ben was in charge of ordering 16 pizzas for the office party. He ordered three types of pizza: Cheese, Pepperoni, and Supreme. The cheese pizzas cost $8 each, the pepperoni pizzas cost $10 each, and the supreme pizzas cost $12 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $156 on pizza, how many pizzas of each type did he buy? \n" ); document.write( "

Algebra.Com's Answer #711420 by jorel1380(3719) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let c, p, and s be the number of cheese, pepperoni, and supreme pizzas ordered, respectively. Then:
\n" ); document.write( "c+p+s=16, and
\n" ); document.write( "8c+10p+12s=156
\n" ); document.write( "Also:
\n" ); document.write( "10p/2=8c
\n" ); document.write( "10p=16c
\n" ); document.write( "p=16c/10
\n" ); document.write( "So:
\n" ); document.write( "c+16c/10+s=16
\n" ); document.write( "26c+10s=160
\n" ); document.write( "24c+12s=156
\n" ); document.write( "Solve for c and s (then you can calculate p)
\n" ); document.write( "☺☺☺☺ \n" ); document.write( "

\n" );