Question

In a survey of 400 students in a school , 100 were listed as taking apple juice , 150 taking orange juice and 75 taking both. how many students are taking either apple or orange juice

Answer 1

number of students taking apple juice = n(A) =100
number of students taking orange juice = n(O) = 150
number of students taking both = n(A ∩O) =75
number of students taking either apple or orange juice = n(A∪O)

n(A∪O) = n(A)+n(O)-n(A∩O)

=100+150-75
=100+75
=175

Answer 2

no. of people took apple juice =100
no. of people took orange juice =150
both juices taking members =75

only apple members =100-75=25
only orange members =150-75=75

either apple or orange juice or both=(75+25)+75
=175