document.write( "Question 994723: I really need some help with this problem, if anyone's not busy I would appreciate any help at all.\r
\n" ); document.write( "\n" ); document.write( " a waitress sold 17 ribeye steak dinners and 20 grilled salmon dinners, totalling $590.81 on a particular day. Another day she sold 24 ribeye steak dinners and 10 grilled salmon dinners, totaling $580.66. How much did each type of dinner cost?
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Algebra.Com's Answer #613750 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
let ribeye steak dinners be \"x\" and grilled salmon dinners \"y\"\r
\n" ); document.write( "\n" ); document.write( "if a waitress sold \"17\" ribeye steak dinners and \"20\" grilled salmon dinners, totaling $\"590.81\" on a particular day, then we have\r
\n" ); document.write( "\n" ); document.write( "\"17x%2B20y=590.81\".........eq.1\r
\n" ); document.write( "\n" ); document.write( "if another day she sold \"24\" ribeye steak dinners and \"10\" grilled salmon dinners, totaling $\"580.66\", then we have\r
\n" ); document.write( "\n" ); document.write( "\"24x%2B10y=580.66\".........eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "\"17x%2B20y=590.81\".........eq.1
\n" ); document.write( "\"24x%2B10y=580.66\".........eq.2...=> both sides multiply by \"2\"
\n" ); document.write( "-------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"17x%2B20y=590.81\".........eq.1
\n" ); document.write( "\"48x%2B20y=1161.32\".........eq.2=> subtract eq.1 from eq.2
\n" ); document.write( "-----------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"48x%2B20y-%2817x%2B20y%29=1161.32-590.81\"\r
\n" ); document.write( "\n" ); document.write( "\"48x%2Bcross%2820y%29-17x-cross%2820y%29=570.51\"\r
\n" ); document.write( "\n" ); document.write( "\"48x-17x=570.51\"\r
\n" ); document.write( "\n" ); document.write( "\"31x=570.51\"\r
\n" ); document.write( "\n" ); document.write( "\"x=570.51%2F31\"\r
\n" ); document.write( "\n" ); document.write( "\"x=18.40354838709677\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=18.40%29\"\r
\n" ); document.write( "\n" ); document.write( "now find \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"24x%2B10y=580.66\".........eq.2\r
\n" ); document.write( "\n" ); document.write( "\"24%2A18.40354838709677%2B10y=580.66\"\r
\n" ); document.write( "\n" ); document.write( "\"441.68516129032248%2B10y=580.66\"\r
\n" ); document.write( "\n" ); document.write( "\"10y=580.66-441.68516129032248\"\r
\n" ); document.write( "\n" ); document.write( "\"10y=138.97483870967752\"\r
\n" ); document.write( "\n" ); document.write( "\"y=138.97%2F10\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=13.89%29\"\r
\n" ); document.write( "\n" ); document.write( "How much did each type of dinner cost?
\n" ); document.write( " ribeye steak dinners cost \"highlight%2818.40%29\" and
\n" ); document.write( "grilled salmon dinners cost \"highlight%2813.89%29\"\r
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