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In a survey of 125 people, it was found that 60 people like chocolate ice cream, 25 people like vanilla ice cream, and 20 people like both chocolate and vanilla ice cream. Create a Venn diagram to represent this data and answer the following questions: a) How many people like only chocolate ice cream? b) How many people like only vanilla ice cream? c) How many people don't like either chocolate or vanilla ice cream? d) How many people like either chocolate ice cream or vanilla ice cream or both?

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User ArunJose
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1 Answer

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To create a Venn diagram for this data, we need to represent the number of people who like chocolate ice cream, vanilla ice cream, and both.

Let's start by drawing two overlapping circles. The left circle represents chocolate ice cream, the right circle represents vanilla ice cream, and the overlapping region represents people who like both.

To find the number of people who like only chocolate ice cream (a), we subtract the number of people who like both from the total number of people who like chocolate ice cream. So, 60 - 20 = 40 people like only chocolate ice cream.

To find the number of people who like only vanilla ice cream (b), we subtract the number of people who like both from the total number of people who like vanilla ice cream. So, 25 - 20 = 5 people like only vanilla ice cream.

To find the number of people who don't like either chocolate or vanilla ice cream (c), we subtract the total number of people who like chocolate or vanilla ice cream from the total number of people surveyed. So, 125 - (60 + 25 - 20) = 60 people don't like either flavor.

To find the number of people who like either chocolate ice cream or vanilla ice cream or both (d), we add the number of people who like only chocolate ice cream, the number of people who like only vanilla ice cream, and the number of people who like both. So, 40 + 5 + 20 = 65 people like either chocolate ice cream or vanilla ice cream or both.

In summary:

a) 40 people like only chocolate ice cream.

b) 5 people like only vanilla ice cream.

c) 60 people don't like either chocolate or vanilla ice cream.

d) 65 people like either chocolate ice cream or vanilla ice cream or both.

answered
User Jakub Szumiato
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7.7k points

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