Answer:
Top left: 6
Bottom left: 8
Top right: 7
Bottom right: 3
Explanation:
To solve this problem, we need to look at the table to see what missing information we need to solve for. On the table, it asks us how many students:
- Play a musical instrument and sport
- Doesn't play anything
- Plays sports
- Plays an instrument
On the first intersection (top left), we are asked how many students played an instrument and sport. That is easy to solve because the information they provide us already gives us that number: 6.
On the second intersection (bottom left), things get a little more challenging. The information states that 14 students in total play sports, so that is not the number of people who only play sports. Since 14 people in total play sports and 6 people play both an instrument and sport, we subtract 6 from 14 to get our answer, 8.
On the third intersection (top right), it asks us how many people play an instrument but doesn't play a sport. Let's look at the remaining values first. There is: 6, 8, 3. When we add those together, we get 17, and when we subtract that from the total (24), we get our answer: 7.
On the last intersection (bottom right), the information already provides us with the answer to how many people don't play anything: 3.