document.write( "Question 1196691: Kathi and Robert Hawn had pottery stand at the annual Skippack Craft FairThey sold some of their pottery at the original price of $13.50 ​each, but later decreased the price of each by ​$2.00. If they sold all 91 pieces and took in ​$1,092, find how many they sold at the original price and how many they sold at the reduced price. \n" ); document.write( "
Algebra.Com's Answer #829664 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "x = number of items sold at $13.50 each
\n" ); document.write( "91-x = remaining items sold at the cheaper price 13.50-2 = 11.50\r
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\n" ); document.write( "\n" ); document.write( "13.50x = amount made from selling x items at $13.50 each
\n" ); document.write( "11.50(91-x) = amount made from selling 91-x items at $11.50 each\r
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\n" ); document.write( "\n" ); document.write( "They sold all of their items and made $1092, so,
\n" ); document.write( "13.50x + 11.50(91-x) = 1092
\n" ); document.write( "13.50x + 11.50*91+ 11.50*(-x) = 1092
\n" ); document.write( "13.50x + 1046.5 - 11.50x = 1092
\n" ); document.write( "2x + 1046.5 = 1092
\n" ); document.write( "2x = 1092-1046.5
\n" ); document.write( "2x = 45.5
\n" ); document.write( "x = 45.5/2
\n" ); document.write( "x = 22.75\r
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\n" ); document.write( "\n" ); document.write( "Unfortunately we don't get a whole number for x, so there is a typo with one or more of the given numbers.
\n" ); document.write( "Please ask your teacher for clarification.
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