document.write( "Question 1028885: Alexander runs his own canteen. This morning, he sold 13 \"chef's plates\" and 32 \"quick and delicious\" snacks. He made $143.25 on these sales. In the afternoon, he sold 7 \"chef's plates\" and 23 \"quick and delicious\" snacks, and collected $93. What are the costs of each meal? \n" ); document.write( "

Algebra.Com's Answer #643964 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
x= cost of chef plates
\n" ); document.write( "y= cost of snacks
\n" ); document.write( "Total sold
\n" ); document.write( "13.00 x + 32.00 y = 143.25 .............1
\n" ); document.write( "Total value
\n" ); document.write( "7.00 x + 23.00 y = 93.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -23.00
\n" ); document.write( "Multiply (2) by 32.00
\n" ); document.write( "-299.00 x -736.00 y = -3294.75
\n" ); document.write( "224.00 x + 736.00 y = 2976.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-75.00 x = -318.75
\n" ); document.write( "/ -75.00
\n" ); document.write( "x = 4.25
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "13.00 x + 32.00 y = 143.25
\n" ); document.write( "55.25 + 32.00 y = 143.25
\n" ); document.write( " 32.00 y = 143.25 -55.25
\n" ); document.write( " 32.00 y = 88.00
\n" ); document.write( " y = 2.75
\n" ); document.write( "x= 4.25 cost of chef plates
\n" ); document.write( "y= 2.75 cost of snacks
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

\n" );