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 $ 13.50 ​each, but later decreased the price

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> 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 $ 13.50 ​each, but later decreased the price      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1137195: 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 $ 13.50 ​each, but later decreased the price of each by ​$1.00. If they sold all 89 pieces and took in $ 1 comma 133.50​, 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 +x+ = number of pieces sold at original price
+89+-+x+ = number sold at reduced price
------------------------------------------------------
+13.5x+%2B+12.5%2A%28+89+-+x+%29+=+1133.5+
+13.5x+%2B+1112.5+-+12.5x+=+1133.5+
+x+=+1133.5+-+1112.5+
+x+=+21+
and
+89+-+x+=+68+
21 sold at original price
68 sold at reduced price
-----------------------------------
+13.5x+%2B+12.5%2A%28+89+-+x+%29+=+1133.5+
+13.5%2A21+%2B+12.5%2A68+=+1133.5+
+283.5+%2B+850+=+1133.5+
+1133.5+=+1133.5+
OK