In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
Answers
Total number of students = 600
Total number of students that took tea = 150 (Given)
Total number of students that took coffee = 225 (Given)
Total number of students that took both = 100 (Given)
Total number of students that take tea only = 150 - 100 = 50
Total number of students that take coffee only = 225 - 100 = 125
Total number of students that took both = 100 (Given)
Find the number of students that took none:
Total number of students that took none = 600 - 50 - 125 - 100 = 425
Answer: 425 students took none.
325 Students
Given:
Total number of students in the school = 600 students
Number of students taking tea = 150 students n(T)
Number of students who were taking coffee = 225 students n(C)
Number of students that take both tea and coffee:
n(T ∩ C) = 100
n(T U C) = n(T) + n(C) – n(T ∩ C)
Substituting values in this formula we get:
= 225 + 150 - 100
= 375 - 100
= 275 students
Therefore, 275 students drink both coffee and tea.
Calculating the number of students who do not drink coffee or tea =
= 600 - 275
= 325 students
Therefore, 325 students do not drink tea or coffee.