You teach 40 students. Blue is a favorite color of 22 studetns; 19 own cars; 13 like flowers; blue is the favorite color of 10 students who own cars; blue is the favorite color of 7 students who like flowers' 8 own cars and flowers; and blue is the favorite color of 5 students who own cars and like flowers. how many students do not like flowers, do not like the color blue, and do not own a car?

Question

You teach 40 students. Blue is a favorite color of 22 studetns; 19 own cars; 13 like flowers; blue is the favorite color of 10 students who own cars; blue is the favorite color of 7 students who like flowers' 8 own cars and flowers; and blue is the favorite color of 5 students who own cars and like flowers. how many students do not like flowers, do not like the color blue, and do not own a car?

Answer 1

To find the number of students who do not like flowers, do not like the color blue, and do not own a car, we need to subtract the students who satisfy at least one of these conditions from the total number of students.

First, let's find the number of students who satisfy at least one of the conditions:

Students who like flowers: 13
Students who like the color blue: 22
Students who own a car: 19

Now, let's find the number of students who satisfy multiple conditions:

Blue is the favorite color of 10 students who own cars.
Blue is the favorite color of 7 students who like flowers.
8 students own cars and like flowers.
Blue is the favorite color of 5 students who own cars and like flowers.

To calculate the number of students who satisfy at least one of the conditions, we can add up these numbers:

13 (students who like flowers) + 22 (students who like blue) + 19 (students who own a car) - 10 (students who own cars and like blue) - 7 (students who like flowers and like blue) + 8 (students who own cars and like flowers) - 5 (students who own cars, like flowers, and like blue) = 60

Now, to find the number of students who do not satisfy any of the conditions, we subtract this total from the total number of students:

Number of students = 40
Number of students who satisfy at least one condition = 60

Number of students who do not satisfy any condition = Number of students - Number of students who satisfy at least one condition

Number of students who do not satisfy any condition = 40 - 60 = -20

Since we cannot have negative students, we can conclude that there is something incorrect in the given information or calculation. Please double-check the data and try to rephrase the question if necessary.