Hello I need some help with these questions.

Question

Hello I need some help with these questions.

A survey of 115 children found that

39 liked The Little Mermaid

43 liked 101 Dalmatians

56 liked Mickey Mouse

7 liked The Little Mermaid and 101 Dalmatians

10 liked The Little Mermaid and Mickey Mouse

16 liked 101 Dalmatians and Mickey Mouse

4 liked all three

Question 1: How many students liked ONLY 101 Dalmatians?
My answer 24

Question 2: How many liked the Little Mermaid but NOT Mickey Mouse?
My answer 26

Question 3: How many students did NOT like Mickey Mouse?
My answer 50

Am I correct?
Thank you for your help!!

Answer 1

To confirm the answers, let's calculate them step by step:

Question 1: How many students liked ONLY 101 Dalmatians?
To find this, we need to subtract the students who liked both 101 Dalmatians and another movie from the total number of students who liked 101 Dalmatians.
Number of students who liked both 101 Dalmatians and another movie: 7 (liked The Little Mermaid and 101 Dalmatians) + 16 (liked 101 Dalmatians and Mickey Mouse) + 4 (liked all three) = 27
Number of students who liked ONLY 101 Dalmatians: 43 (total number who liked 101 Dalmatians) - 27 (number who liked both) = 16

So the correct answer for Question 1 is 16.

Question 2: How many liked the Little Mermaid but NOT Mickey Mouse?
To find this, we need to subtract the number of students who liked both The Little Mermaid and Mickey Mouse from the total number of students who liked The Little Mermaid.
Number of students who liked both The Little Mermaid and Mickey Mouse: 10 (liked The Little Mermaid and Mickey Mouse)
Number of students who liked The Little Mermaid but not Mickey Mouse: 39 (total who liked The Little Mermaid) - 10 (liked both) = 29

So the correct answer for Question 2 is 29.

Question 3: How many students did NOT like Mickey Mouse?
To find this, we have to calculate the number of students who did not like Mickey Mouse. We can calculate this by subtracting the number of students who liked Mickey Mouse from the total number of students.
Number of students who liked Mickey Mouse: 56 (total who liked Mickey Mouse)
Number of students who did not like Mickey Mouse: 115 (total students) - 56 (liked Mickey Mouse) = 59

So the correct answer for Question 3 is 59.

Thus, your answers are incorrect. The correct answers are:
Question 1: 16 students liked ONLY 101 Dalmatians.
Question 2: 29 students liked the Little Mermaid but NOT Mickey Mouse.
Question 3: 59 students did NOT like Mickey Mouse.

If you have further questions or need more assistance, feel free to ask!