Question 45

60 employees in an office were asked about their preference for tea and coffee. It was observed that for every 3 people who prefer tea, there are 2 who prefer coffee. For every 6 people who prefer tea, there are 2 who drink both of tea and coffee. The number of people who drink both is the same as those who drink neither.
How many people drink both tea and coffee?

Solution

Let number of people who prefer tea =3k

those who prefer = 2k

those who like both =k

image

5k = 60

=> k=12


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