Answer: they sold 25 at the original price they sold 66 at the reduced price.
Step-by-step explanation:
Let x represent the number of pottery that they sold at the original price.
Let y represent the number of pottery that they sold at the reduced price.
They sold a total of 91 pieces of pottery. This means that
x + y = 91
They sold some of their pottery at the original price of $ 13.50 each, but later decreased the price of each by $3.00. The reduced price would be 13.5 - 3 = $10.5
If they made $1030.5 in total, it means that
13.5x + 10.5y = 1030.5 - - - - - - - - - 1
Substituting x = 91 - y into equation 1, it becomes
13.5(91 - y)+ 10.5y = 1030.5
1228.5 - 13.5y + 10.5y = 1030.5
- 13.5y + 10.5y = 1030.5 - 1228.5
- 3y = - 198
y = - 198/ - 3
y = 66
x = 91 - y = 91 - 66
x = 25
