document.write( "Question 1028702: 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. Use this information to find the cost of each meal. \n" ); document.write( "

Algebra.Com's Answer #643974 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Make 'chef's plates' = x
\n" ); document.write( "and 'Quick and Delicious snacks' = y
\n" ); document.write( "13x + 32y = 143.25.........(1)
\n" ); document.write( "7x + 23y = 93..............(2)
\n" ); document.write( "Multiply Eq(1) by 7 and Eq(2) by 13
\n" ); document.write( "91x + 224y = 1002.75.......(1)
\n" ); document.write( "91x + 299y = 1209..........(20
\n" ); document.write( "Subtract Eq(1) from Eq(2)
\n" ); document.write( "......75y = 206.25
\n" ); document.write( "......y = 2.75
\n" ); document.write( "Substitute y = 2.75 into
\n" ); document.write( "Eq(2)
\n" ); document.write( "7x + 23y = 93..............(2)
\n" ); document.write( "7x + 23(2.75) = 93
\n" ); document.write( "7x + 63.25 = 93
\n" ); document.write( "7x = 93 - 63.25
\n" ); document.write( "7x = 29.75
\n" ); document.write( "x = 4.25
\n" ); document.write( "Chef's plates = $4.25
\n" ); document.write( "Quick and Easy Snacks = $2.75
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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