Question

Carole works at a bookstore and a restaurant. In a 28-day period, Carole worked 1/4 of the days at the bookstore and did not work 1/14 of the days. On the remaining days Carole worked at the restaurant. How many days did Carole work at the restaurant during the 28 day period?

a. 25
b. 19
c. 10
d. 9

Answer 1

Carole worked at the bookstore for 7 days and did not work for 2 days. Subtracting these from the total 28 days, she worked 19 days at the restaurant.

Step-by-step explanation:

Carole worked at the bookstore for 1/4 of the 28 days, which equals 7 days (since 28/4 = 7). She did not work for 1/14 of the days, which equals 2 days (since 28/14 = 2). To find out the number of days Carole worked at the restaurant, we subtract the days she worked at the bookstore and the days she did not work from the total number of days in the period:

Total days - Bookstore days - Days not worked = Restaurant days

28 days - 7 days - 2 days = 19 days. So, Carole worked at the restaurant for 19 days during the 28-day period.

The correct answer is option B, 19 days.