Question

At a restaurant 42 people had breakfast on Saturday morning. 1/7 ate eggs only 2/3 ate both pancakes and eggs the remaining ate pancakes only. How many people ate pancakes

Answer 1

8

Explanation:

There are 42 people who had breakfast. Each person had either egg or pancake or both.

Of these only eggs were 2/3 and both were 2/3

Hence the remaining ate only pancakes

i.e. portion of persons who ate pancakes = 1-(1/7+2/3)

= 4/21

Total no of people in the restaurant = 42

Of those people who ate eggs only= 1/7 (42) = 6

No of persons who ate both pancakes and eggs = 2/3(42) = 28

Hence no of persons who ate only pancakes =42-(6+28) = 8