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 $ 10.50 ​each, but later decreased t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 $ 10.50 ​each, but later decreased t      Log On


   



Question 1099867: 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 $ 10.50

​each, but later decreased the price of each by ​$2.00
.
If they sold all 88

pieces and took in $ 794.00
​,
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 +x+ = number of pieces sold at original price
+88+-+x+ = number of pieces sold at reduced price
------------------------------------------
+10.5x+%2B+8.5%2A%28+88+-+x+%29+=+794+
+10.5x+%2B+748+-+8.5x+=+794+
+2x+=+46+
+x+=+23+
and
+88+-+x+=+88+-+23+
+88+-+x+=+65+
------------------------
They sold 23 pieces at the original price
They sold 65 pieces at the reduced price
--------------------------------------
check:
+10.5x+%2B+8.5%2A%28+88+-+x+%29+=+794+
+10.5%2A23+%2B+8.5%2A65+=+794+
+241.5+%2B+552.5+=+794+
+794+=+794+
OK