"In a 28-day period, Carole worked 1/4 of the days at the bookstore"
She worked 7 days at the bookstore.
"and did not work 1/14of the days"
She did not work 2 days.
"On the remaining days Carole worked at the restaurant."
The remaining days are 28 - 7 - 2 = 19
Answer: 19 days