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?

12 students like only coffee

12 students like neither of the drinks

Step-by-step 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.

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

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