In a survey of students about favorite sports the results include 23 who like tennis 24 like football 7 like tennis and football 20 like football and baseball 5 like all three sports 9 like no sports. How many students like only tennis and football? How many like only tennis and baseball? How many like only baseball and football?
If you build a Venn diagram for this, you can just read off the numbers.
Start with the 5 who like all three sports, and subtract that from the regions which like two or one.
The 9 who like nothing don't count.
Ramey recorded the favorite sport of students at his school. Football is 44%, Baseball 15%, Basketball 20%and Tennis 20% .What decimal is Baseball? ( Hint: move 2 places to the left)
To find the number of students who like only tennis and football, we need to subtract the number of students who like all three sports from the number of students who like tennis and football.
Number of students who like tennis and football = (Number of students who like both tennis and football) - (Number of students who like all three sports)
Number of students who like tennis and football = 7 - 5
Number of students who like tennis and football = 2
To find the number of students who like only tennis and baseball, we need to subtract the number of students who like all three sports from the number of students who like tennis.
Number of students who like only tennis and baseball = (Number of students who like tennis) - (Number of students who like all three sports)
Number of students who like only tennis and baseball = 23 - 5
Number of students who like only tennis and baseball = 18
To find the number of students who like only baseball and football, we need to subtract the number of students who like all three sports from the number of students who like football and baseball.
Number of students who like only baseball and football = (Number of students who like both baseball and football) - (Number of students who like all three sports)
Number of students who like only baseball and football = 20 - 5
Number of students who like only baseball and football = 15
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.
First, let's determine the total number of students who like tennis:
23 students like tennis (given).
Next, let's find the number of students who like tennis and football:
7 students like both tennis and football (given).
Therefore, the number of students who like only tennis is: 23 - 7 = 16.
Similarly, to find the number of students who like only tennis and baseball, we need to subtract the number of students who like all three sports from the total number of students who like tennis.
First, let's calculate the total number of students who like tennis:
23 students like tennis (given).
Next, let's find the number of students who like all three sports:
5 students like tennis, football, and baseball (given).
Therefore, the number of students who like only tennis and baseball is: 23 - 5 = 18.
Finally, to find the number of students who like only baseball and football, we need to subtract the number of students who like all three sports from the total number of students who like football.
First, let's calculate the total number of students who like football:
24 students like football (given).
Next, let's find the number of students who like all three sports:
5 students like tennis, football, and baseball (given).
Therefore, the number of students who like only baseball and football is: 24 - 5 = 19.