There are 42 students in the University Travel Club. The following information and Venn diagram show how many students traveled to Germany, France, and Spain. How many students have been only to Spain?
19 members have visited Germany
22 have been to Spain
18 have visited France
9 have been to Germany and France
6 have only been to France
4 have only been to Germany
3 have been to only Spain and France
5 have been to all three countries
Some of the members have not been to any of the three
To find the number of students who have been only to Spain, we first need to find the total number of students who have been to Spain.
Total students who have been to Spain = 22 (students who have been only to Spain) + 9 (students who have been to Germany and Spain) + 3 (students who have been to Spain and France) + 5 (students who have been to all three countries) = 39
Now, we need to subtract the number of students who have been to Spain and another country to find the number of students who have been only to Spain.
Students who have been only to Spain = Total students who have been to Spain - (students who have been to Germany and Spain + students who have been to Spain and France + students who have been to all three countries) = 39 - (9 + 3 + 5) = 39 - 17 = 22
Therefore, 22 students have been only to Spain.