Transcript: Volunteer preferences fill in the blanks activity

Hayden has already tallied the total number of volunteers and their preferences:

9 volunteers prefer to work in the Health area only.

4 volunteers prefer to work in the Cleaning area only.

6 volunteers prefer to work in the Ticketing area only.

8 volunteers prefer working in Health or Cleaning.

12 volunteers prefer working in Cleaning or Ticketing.

5 volunteers prefer working in Ticketing or Health.

And 4 volunteers are happy to work in any of the three areas.

In order to visualise this information, Sammie has drawn three overlapping circles to represent the three areas. One circle has the heading ‘Cleaning’, another circle has the heading ‘Health’ and the last circle has the heading ‘Ticketing’. There are seven blank spaces in the Venn diagram where Sammie needs to fill out the number of volunteers according to their preferences.

1. What number should go into the blank space within the ‘Health’ circle?
2. What number should go into the blank space within the ‘Cleaning’ circle?
3. What number should go into the blank space within the ‘Ticketing’ circle?
4. What number should go in the blank space in the area where ‘Cleaning’ and ‘Health’ intersect?
5. What number should go in the blank space in the area where ‘Cleaning’ and ‘Ticketing’ intersect?
6. What number should go in the blank space in the area where ‘Ticketing’ and ‘Health’ intersect?
7. What number should go in the blank space in the area where all three circles intersect?

Hint:

Use the information provided from Hayden’s tally to determine the correct solutions.

Answers:

1. 9
2. 4
3. 6
4. 8
5. 12
6. 5
7. 4