document.write( "Question 802970: A school tuck shop made 2 orders for large and small pies pies. The first order of 40 small and40 large pies came to $154 and the second order of 50 small and 30 large pies was $144.50.
\n" ); document.write( "A define the variables you will use to solve this question
\n" ); document.write( "B form two equations that can be solved simultaneously
\n" ); document.write( "C prove the equations
\n" ); document.write( "Can you please show me all the workings, I just can't get it..
\n" ); document.write( "Thanks
\n" ); document.write( "Deanna
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Algebra.Com's Answer #484082 by thejackal(72)\"\" \"About 
You can put this solution on YOUR website!
very simple\r
\n" ); document.write( "\n" ); document.write( "let the unit price of small and large pies be S and L respectively such that\r
\n" ); document.write( "\n" ); document.write( "1st order which was - 40S + 40L = $154
\n" ); document.write( "2nd order which was - 50S + 30L = $144.50\r
\n" ); document.write( "\n" ); document.write( "we want to know what the unit price is for small and large pies, to do this
\n" ); document.write( "solve simultaneously \r
\n" ); document.write( "\n" ); document.write( "40S + 40L = 154
\n" ); document.write( "50S + 30L = 144.50\r
\n" ); document.write( "\n" ); document.write( "using either equation, express S in terms of L for example\r
\n" ); document.write( "\n" ); document.write( "50S = 144.5 - 30L
\n" ); document.write( " S = 2.89 - 3/5L\r
\n" ); document.write( "\n" ); document.write( "use the equation for S in the first equation \r
\n" ); document.write( "\n" ); document.write( "40 (2.89 - 3/5L) + 40L = 154
\n" ); document.write( "simplify
\n" ); document.write( "16 L = 38.4
\n" ); document.write( " L = 2.4\r
\n" ); document.write( "\n" ); document.write( "plug the value of L into the previous equation for S\r
\n" ); document.write( "\n" ); document.write( "S = 2.89 - 3/5(2.4)
\n" ); document.write( "S = 1.45\r
\n" ); document.write( "\n" ); document.write( "prove it by using your answers in the original question\r
\n" ); document.write( "\n" ); document.write( "40(1.45) + 40(2.4) should be equal to 154\r
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