Question

In a survey of 425 students in a school, it was found that 115 drink apple juice, 160 drink orange juice and 80 drink both apple as well as orange juice. How many drink neither apple juice nor orange juice?

Answer 1

Answer:

70 students

Step-by-step explanation:

115+160+80= 355

425-355=70

Answer 2

Answer:

270 Students drink neither apple juice nor orange juice.

Step-by-step explanation:

Let the students who drink apple juice be A

Therefore,n(A) = 115

Let the students who drink orange juice be B

Therefore,n(B) = 160

80 students drink both apple as well as orange juice

Therefore n(A ∩ B) = 80

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A ∪ B) = 115 + 160 - 80

n(A ∪ B) = 275 - 80

n(A ∪ B) = 195

Therefore,Students who drink neither apple juice nor orange juice = Total number of Students - n(A ∪ B)

Students who drink neither apple juice nor orange juice = 425 - 195

Students who drink neither apple juice nor orange juice = 230

Hence 230 students drink neither apple neither orange juice.