document.write( "Question 528233: two eggs with bacon cost $1.35. One egg with bacon costs $.90. At these rates what should bacon alone cost? show work \n" ); document.write( "

Algebra.Com's Answer #349215 by jlshires(17) $\"\"$ $\"About$

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Let e=price of eggs
\n" ); document.write( "Let b=Price of bacon\r
\n" ); document.write( "\n" ); document.write( "If two eggs with bacon costs $1.35\r
\n" ); document.write( "\n" ); document.write( "2e+b=1.35\r
\n" ); document.write( "\n" ); document.write( "If one egg with bacon costs $.90\r
\n" ); document.write( "\n" ); document.write( "e+b=.90\r
\n" ); document.write( "\n" ); document.write( "take both of these equations and subtract them:\r
\n" ); document.write( "\n" ); document.write( " 2e+b=1.35
\n" ); document.write( " - e+b=.90\r
\n" ); document.write( "\n" ); document.write( "subtract the like characters from like characters:
\n" ); document.write( "(2e-e) = e, (b-b)= 0, (1.35-.90) = .45\r
\n" ); document.write( "\n" ); document.write( "So your combined equation (which unsimplified looks like (2e-e)+(b-b)=(1.35-.90)\r
\n" ); document.write( "\n" ); document.write( "is now e=.45\r
\n" ); document.write( "\n" ); document.write( "substitute this back into either of the original equations\r
\n" ); document.write( "\n" ); document.write( "e+b=.90
\n" ); document.write( ".45+b=.90\r
\n" ); document.write( "\n" ); document.write( "subtract .45 from both sides to get your answer:\r
\n" ); document.write( "\n" ); document.write( "b=.45\r
\n" ); document.write( "\n" ); document.write( "The price of bacon alone is 45 cents.\r
\n" ); document.write( "\n" ); document.write( "*** Always put your answer (b=.45) back into both equations to make sure they come out correct to check your work \n" ); document.write( "

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