Question

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 $12.50 each, but later decreased the price of each

by $3.00. If they sold all 87 pieces and took in $901.50, find how many they sold at the original price and how many they sold at the reduced price.
The number sold at $12.50 is
The number sold at $9.50 is

Answer 1

The number sold at $12.50 is 25

The number sold at $9.50 is 62

Explanation:

Hi, to answer this question we have to write a system of equations:

x 12.50 + y 9.50=901.50

x+y= 87

Where

x= number of pottery pieces sold

y= number of pottery pieces sold at a decreased price

Multiplying the second equation by 9.50, and subtracting the second equation to the first equation:

12.50 x + 9.50y = 901.50

-

9.50 x+ 9.50 y= 826.5

__________________

3 x = 75

Solving for x

x =75/3

x = 25

Replacing x=25 on any equation:

x+y= 87

25+y =87

y=87-25

y= 62