Question

In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who (i) like both tea and coffee. (ii) do not like Tea. (iii) do not like coffee

Answer 1

(i) Number of people that like both tea and coffee = 10

(ii) Number of people that don't like tea = 10

(iii) Number of people that don't like coffee = 25

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of people at the party = 45

Number of people that like tea = 35

Number of people that ONLY like tea = 25

Number of people that like coffee = 20

Number of people that ONLY like coffee = 10

2. Find the number of people who:

(i) like both tea and coffee.

Number of people that like both tea and coffee = Number of people at the party - Number of people that ONLY like tea - Number of people that ONLY like coffee

Number of people that like both tea and coffee = 45 - 25 - 10

Number of people that like both tea and coffee = 10

(ii) do not like Tea.

Number of people that don't like tea = Number of people at the party - Number of people that like tea

Number of people that don't like tea = 45 - 35

Number of people that don't like tea = 10

(iii) do not like coffee

Number of people that don't like coffee = Number of people at the party - Number of people that like coffee

Number of people that don't like coffee = 45 -20

Number of people that don't like coffee = 25