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
\n" ); document.write( "\n" ); document.write( "what was the price of one of the burgers lauren bought?
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Algebra.Com's Answer #752576 by swincher4391(1107)\"\" \"About 
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Let B be the cost of a burger.
\n" ); document.write( "Let N be the number of burgers in a box.\r
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\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 \"x+=+%28-%28-25.5%29+%2B-+sqrt%28+%28-25.5%29%5E2-4%2A35%2A35+%29%29%2F%282%2A35%29+\"\r
\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
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