Asurvey asked 281 people what alternative transportation modes they use. the results are below. 153 walk 137 use the bus 137 ride a bicycle 85 walk and use the bus 67 walk and ride a bicycle 90 ride the bus and ride a bicycle 49 said they use all three modes of transportation how many people only ride the bus?

11 people only ride the bus

Step-by-step explanation:

Let A, B and C represents the event of walking, taking bus and taking a bicycle respectively.

According to the question,

n(A) = 153,

n(B) = 137,

n(C) = 137,

n(A∩B) = 85,

n(A∩C) = 67,

n(B∩C) = 90,

n(A ∩ B ∩ C) = 49,

Hence, the number of people who only ride the bus = n(B) - n(A∩B) - n(B∩C) + n(A ∩ B ∩ C)

= 137 - 85 - 90 + 49

= 11

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.