document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201832>Question 1201832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large cheese pizza at palanzio’s pizzeria costs $6.80 plus $0.90 for each topping, while the cost of the large cheese pizza at guido’s pizza is $7.30 plus $0.65 for each topping. How many toppings needed to be added to the large cheese pizza from Palanzio’s pizzeria and Guido’s pizza for the pizzas to cost the same? </SPAN>\n" );
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document.write( "Answer: <font color=red size=4>2 toppings</font>\r<BR>\n" );
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document.write( "Work Shown:<BR>\n" );
document.write( "x = number of toppings<BR>\n" );
document.write( "y = total cost\r<BR>\n" );
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document.write( "x is a nonnegative whole number 0,1,2,3,...<BR>\n" );
document.write( "y is a positive real number\r<BR>\n" );
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document.write( "Palanzio's Pizzeria:<BR>\n" );
document.write( "y = 0.90x + 6.80\r<BR>\n" );
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document.write( "Guido's Pizza <BR>\n" );
document.write( "y = 0.65x + 7.30\r<BR>\n" );
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document.write( "We want the two costs (variable y) to be the same. <BR>\n" );
document.write( "Apply substitution to solve for x.<BR>\n" );
document.write( "y = 0.65x + 7.30<BR>\n" );
document.write( "0.90x + 6.80 = 0.65x + 7.30<BR>\n" );
document.write( "0.90x-0.65x = 7.30-6.80<BR>\n" );
document.write( "0.25x = 0.50<BR>\n" );
document.write( "x = 0.50/0.25<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "We need to have 2 toppings for each pizza to arrive at the same cost for each.\r<BR>\n" );
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document.write( "As a check, let's plug x = 2 into each equation.<BR>\n" );
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document.write( "Palanzio:\r\n" );
document.write( "	y = 0.90x + 6.80\r\n" );
document.write( "	y = 0.90*2 + 6.80\r\n" );
document.write( "	y = 1.80 + 6.80\r\n" );
document.write( "	y = 8.60\r\n" );
document.write( "Guido:\r\n" );
document.write( "	y = 0.65x + 7.30\r\n" );
document.write( "	y = 0.65*2 + 7.30\r\n" );
document.write( "	y = 1.30 + 7.30\r\n" );
document.write( "	y = 8.60\r\n" );
document.write( "</PRE>Each pizza place will charge $8.60 for two toppings.<BR>\n" );
document.write( "This confirms the answer.<BR>\n" );
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