SOLUTION: Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $ 11.50 ​each, but later decreased the price

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Question 1156586: Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $ 11.50 ​each, but later decreased the price of each by ​$3.00. If they sold all 88 pieces and took in $ 823.00​, find how many they sold at the original price and how many they sold at the reduced price.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of pieces sold at the reduced price
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+850n+%2B+1150%2A%28+88+-+n+%29+=+82300+ ( in cents )
+850n+%2B+101200+-+1150n+=+82300+
+-300n+=+-18900+
+n+=+63+
and
+88+-+n+=+25+
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63 sold at reduced price
25 sold at original price
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check:
+850n+%2B+1150%2A%28+88+-+n+%29+=+82300+
+850%2A63+%2B+1150%2A25+=+82300+
+53550+%2B+28750+=+82300+
+82300+=+82300+
OK