Jennifer asked
150
of the students in her class about travelling to Europe. The results of the poll are shown in the table below.
Question Yes No
1. Have you ever travelled to France or to Spain?
24
126
2. If you answered Yes to Question 1, have you travelled to France?
18
6
3. If you answered Yes to Question 1, have you travelled to Spain?
11
13
After completing the poll, Jennifer wondered how many of the students polled had both been to France and Spain. How many of the students polled indicated that they had both gone to France and to Spain?
To find the number of students who have been to both France and Spain, we can add the number of students who have been to France only and the number of students who have been to Spain only, and then subtract that total from the number of students who have been to either France or Spain.
Number of students who have been to France only = 18
Number of students who have been to Spain only = 13
Number of students who have been to either France or Spain = 24
Total number of students who have been to both France and Spain = 18 + 13 - 24 = 7
Therefore, 7 students indicated that they have been to both France and Spain.