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?
Responses
A 2525
B 1919
C 1010
D 9
Let's start by finding out how many days Carole worked at the bookstore. Carole worked 1/4 of the days at the bookstore, which is 1/4 * 28 = <<1/4*28=7>>7 days.
Carole also did not work 1/14 of the days, which is 1/14 * 28 = <<1/14*28=2>>2 days.
Therefore, Carole worked at the restaurant for 28 - 7 - 2 = <<28-7-2=19>>19 days.
The answer is D) 19.
To solve this problem, we need to determine the number of days Carole worked at the restaurant during the 28-day period.
First, we need to calculate the number of days Carole worked at the bookstore. We know that Carole worked 1/4 of the days at the bookstore. To find this value, we calculate 1/4 multiplied by 28:
1/4 * 28 = 7
So, Carole worked 7 days at the bookstore.
Next, we need to determine the number of days Carole did not work. We know that Carole did not work 1/14 of the days. To find this value, we calculate 1/14 multiplied by 28:
1/14 * 28 = 2
So, Carole did not work 2 days.
Now, we can find the number of days Carole worked at the restaurant by subtracting the days worked at the bookstore and the days not worked from the total number of days:
28 - 7 - 2 = 19
Therefore, Carole worked at the restaurant for 19 days during the 28-day period.
The correct answer is B) 1919.
To find out how many days Carole worked at the restaurant during the 28-day period, we first need to determine how many days she worked at the bookstore and how many days she did not work.
1. Calculate the number of days Carole worked at the bookstore:
28 days * 1/4 = 7 days
2. Calculate the number of days Carole did not work:
28 days * 1/14 = 2 days
3. Calculate the remaining days when Carole worked at the restaurant:
28 days - 7 days - 2 days = 19 days
Therefore, Carole worked at the restaurant for 19 days during the 28-day period.
The correct answer is B) 19 days.