document.write( "Question 918643: Help needed!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Kathi and Robert Hawn had a pottery stand at the annual skipcack craft fair. They sold some of their pottery at the original price of $11.50 for each piece, but later decreased the price by $2. If they sold all 82 pieces and took in $821.00, find how many pieces they sold at the original price and how many pieces they sold at the reduced price?\r
\n" ); document.write( "\n" ); document.write( "The number sold at $11.50 is___
\n" ); document.write( "The number sold at $9.50 is ____ \n" ); document.write( "
Algebra.Com's Answer #557225 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
let x be the number they sold at $11.50 and y be the number they sold at $9.50, then we have
\n" ); document.write( "x + y = 82
\n" ); document.write( "x*11.50 + y*9.50 = 821.00
\n" ); document.write( "solve the first equation for x
\n" ); document.write( "x = 82-y
\n" ); document.write( "substitute for x in second equation
\n" ); document.write( "11.50*(82-y) + y*9.50 = 821.00
\n" ); document.write( "943 - 11.50y +9.50y = 821.00
\n" ); document.write( "-2.00 = -122.00
\n" ); document.write( "y = 61
\n" ); document.write( "x = 82 - 61 = 21
\n" ); document.write( "The number sold at $11.50 is 21
\n" ); document.write( "The number sold at $9.50 is 61
\n" ); document.write( "check answers
\n" ); document.write( "21*11.50 + 61*9.50 = 821.00
\n" ); document.write( "241.50 + 579.50 = 821.00
\n" ); document.write( "821.00 = 821.00
\n" ); document.write( "our answer checks :-)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );