First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
Answer: The maximum profit that can make by the company is $461. x= Number of widget. The profit of the company will maximum only when if they sell widget.
Independent is hour
Dependent is her rate ($18) because it DEPENDS on how long she works