document.write( "Question 938639: Help!!! -At the Apple Pan, 4 burgers and 3 fries cost $26.50. 5 burgers and 5 fries cost $36.25. What is the cost for each item? \n" ); document.write( "

Algebra.Com's Answer #571911 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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4 burgers and 3 fries cost $26.50.
\n" ); document.write( " 5 burgers and 5 fries cost $36.25.
\n" ); document.write( " What is the cost for each item?\r
\n" ); document.write( "\n" ); document.write( "let b = cost of burgers
\n" ); document.write( "let f = cost of fries
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each transaction
\n" ); document.write( "4b + 3f = 26.50
\n" ); document.write( "and
\n" ); document.write( "5b + 5f = 36.25
\n" ); document.write( "simplify, divide by 5 and you have
\n" ); document.write( "b + f = 7.25
\n" ); document.write( "f = (7.25-b)
\n" ); document.write( ":
\n" ); document.write( "Substitute (7.25-b) for f in the 1st equation
\n" ); document.write( "4b + 3(7.25-b) = 26.50
\n" ); document.write( "4b + 21.75 - 3b = 26.50
\n" ); document.write( "4b - 3b = 26.50 - 21.75
\n" ); document.write( "b = $4.75 for a burger
\n" ); document.write( "and
\n" ); document.write( "f = 7.25-4.75
\n" ); document.write( "f = $2.50 for fries
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can check this for yourself in the original equations \n" ); document.write( "

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