Question

In a college, of 200 students are randomly selected, 140 likes tea, 120 likes coffee and 80 likes both tea and coffee.

1. How many students like tea only?
2. How many students like neither tea nor coffee?
3.How many students like only coffee?

Answer 1

To find the number of students who like tea only, subtract the number of students who like both tea and coffee from the total number of students who like tea. To find the number of students who like neither tea nor coffee, subtract the number of students who like either tea or coffee from the total number of students. To find the number of students who like only coffee, subtract the number of students who like both tea and coffee from the total number of students who like coffee.

Step-by-step explanation:

To find the number of students who like tea only, we need to subtract the number of students who like both tea and coffee from the total number of students who like tea. So, 140 - 80 = 60 students like tea only.

To find the number of students who like neither tea nor coffee, we need to subtract the number of students who like either tea or coffee from the total number of students. So, 200 - (140 + 120 - 80) = 40 students like neither tea nor coffee.

To find the number of students who like only coffee, we need to subtract the number of students who like both tea and coffee from the total number of students who like coffee. So, 120 - 80 = 40 students like only coffee.