document.write( "Question 1135052: lauren purchased a box of burgers for 35$ at her usual grocery store. When she got back home she saw a flyer for a different store advertising a price that was 50 cents less per burger. if laura has shopped at the second store she could have bought 8 more burgers for the same price\r
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document.write( "what was the price of one of the burgers lauren bought? \n" );
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Algebra.Com's Answer #752576 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! Let B be the cost of a burger. \n" ); document.write( "Let N be the number of burgers in a box.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "N * B = $35\r \n" ); document.write( "\n" ); document.write( "(N+8)*(B-.50) = $35\r \n" ); document.write( "\n" ); document.write( "N = 35/B\r \n" ); document.write( "\n" ); document.write( "(35/B+8)*(B-.50) = 35\r \n" ); document.write( "\n" ); document.write( "(35+8B)/B * (B-.50) = 35\r \n" ); document.write( "\n" ); document.write( "(35+8B)/(B-.5) = 35B\r \n" ); document.write( "\n" ); document.write( "(35+8B) = 35B(B-.5)\r \n" ); document.write( "\n" ); document.write( "(35+8B) = 35B^2 - 17.5B\r \n" ); document.write( "\n" ); document.write( "35B^2 -25.5B - 35 = 0\r \n" ); document.write( "\n" ); document.write( "quadratic formula \n" ); document.write( "\n" ); document.write( "Yields two answers, but only one is positive (since we're talking about money after all).\r \n" ); document.write( "\n" ); document.write( "Hence the answer is $1.43 per burger.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |