Question

5. Among 70 students , 40 like tea 24 like coffee and 12 like both drinks then find

a. how many like only coffee?
b. how many like neither of the drinks?

Answer 1

12 students like only coffee

12 students like neither of the drinks

Explanation:

There are 70 students in total. 40 of them line tea, 24 of them like coffee, and 12 of them like both drinks.

Let's go reasoning step by step.

• a.

We have 24 students who like coffee, and we know 12 of them also like tea. The number of students who like only coffee is the difference between those numbers: 24 - 12 =12

12 students like only coffee

• b.

With similar reasoning as for part a, 40 students like tea, 12 of which also like coffee, then 40 - 12 = 28 students like only tea.

We have a total of 12 students who like only coffee, 28 students who like only tea, and 12 students who like both. In total there are 12 + 28 + 12 = 52 students who like any or both drinks.

Since there are 70 students in all, we can say 70 - 58 = 12 students don't like coffee nor tea.

12 students like neither of the drinks