In a survey of students about favorite sports, the results include 33 who like tennis, 30 who like football, 16 who like tennis and football, 21 who like tennis and baseball, 16 who like football and baseball, 6 who like all three sports, and 7 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?

Question

In a survey of students about favorite sports, the results include 33 who like tennis, 30 who like football, 16 who like tennis and football, 21 who like tennis and baseball, 16 who like football and baseball, 6 who like all three sports, and 7 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?

How many students like only tennis and football?
_ (Type a whole number.)

Answer 1

To find the number of students who like only tennis and football, we need to subtract the number of students who like tennis and football from the total number of students who like tennis.

Total number of students who like tennis = 33
Number of students who like tennis and football = 16

Therefore, the number of students who like only tennis and football is: 33 - 16 = 17.

Answer 2

To find the number of students who like only tennis and football, we need to subtract the students who like both tennis and football (16), and the students who like all three sports (6), from the total number of students who like football (30).

So, the number of students who like only tennis and football would be:
30 - 16 - 6 = 8.

Hence, 8 students like only tennis and football.

Answer 3

To find the number of students who like only tennis and football, we need to subtract the students who like both tennis and football (16) from the total number of students who like tennis (33) and football (30).

First, let's find the number of students who like only tennis and football:

Number of students who like tennis and football = 16

Now, let's find the number of students who like only tennis:

Number of students who like only tennis = Number of students who like tennis - Number of students who like both tennis and football
= 33 - 16
= 17

Next, let's find the number of students who like only football:

Number of students who like only football = Number of students who like football - Number of students who like both tennis and football
= 30 - 16
= 14

Finally, let's find the number of students who like only tennis and football:

Number of students who like only tennis and football = Number of students who like only tennis + Number of students who like only football
= 17 + 14
= 31

So, the number of students who like only tennis and football is 31.