At a financial conference, the 750 attendees were given the choice of turkey, ham, both, or neither on the sandwich in their sack lunch. Eighty-five of the attendees chose neither and 200 chose both. If a total of 400 people had ham on their sandwiches, use the Venn diagram below to determine how many people had only turkey on their sandwich.





750
665
350
265

At a financial conference the 750 attendees were given the choice of turkey ham both or neither on the sandwich in their sack lunch Eightyfive of the attendees class=

Respuesta :

Answer:

265

Step-by-step explanation:

All values should add up to 750

85 + 400 + x = 750

485 + x = 750

x = 265

Number of people had only turkey on their sandwich from the given Venn diagram is equals to 265.

What is Venn diagram?

" Venn diagram is defined as pictorial representation of set of data using circles and rectangle in logical form to represent the relation between the given sets."

According to the question,

From the given Venn diagram,

Total number of attendees = 750

Number of attendees choose neither sandwich = 85

Number of attendees choose both turkey and Ham sandwich= 200

Total number of attendees choose ham sandwich = 400

'x' represents the number of attendees choose only turkey sandwich

As per condition of the sets in the Venn diagram we get,

[tex]400 + 85 + x = 750\\\\\implies 485 + x=750\\\\\implies x = 750-485\\\\\implies x = 265[/tex]

Hence, number of people had only turkey on their sandwich from the given Venn diagram is equals to 265.

Learn more about Venn diagram here

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