Question

in a hostel of 400 students, it was discovered that 70% like to drink tea and 60% like to drink coffee . if 10% students didn't like to drink tea or coffee , represent the information in a venn-diagram and find the number of students who like 1)coffee only,tea, bothtea and coffee ,neither tea nor coffee​

Answer 1

Of the 400 students, 120 students like to drink coffee, 80 students like to drink tea, 160 students like both and 40 students do not like any of these drinks.

How many students like to drink coffee, tea, or none?

Cofee: 70% of 400 = 280 students

Tea: 60% of 400 = 240 students

None: 10% of 400= 40 students

This means that 360 students like coffee, tea or both.

How many students like both drinks?

280 + 240 (students who drink either coffe or tea)= 520 - 360 (real number of students who like coffee or tea) = 160 (students who like both coffee and tea.

Moreover, it can be inferred 80 students like tea and 120 studetns like coffee.

How to represented it in a Venn diagram?

• Set A: Students who like coffee 120 students.
• Set B: Students who like tea 80 students.
• Set A^B: Students who ike both drinks 160 students

Outside the sets 40 students who do not like any of the drinks.

Learn more about Diagram in: https://brainly.com/question/11729094

#SPJ1