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In a survey of some people, 73% like to drink tea, 85% like to drink coffee and 65% like to drink tea as well as coffee .If 210 people like neither tea nor coffee, then find the total number of people taken part in the survey. Also, by a Venn diagram show how many of them like at least one of the given drink.​

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francocanacari

3000 people participated in the survey, of which 2790 like some type of drink.

Since in a survey of some people, 73% like to drink tea, 85% like to drink coffee and 65% like to drink tea as well as coffee, if 210 people like neither tea nor coffee, to find the total number of people taken part in the survey and show how many of them like at least one of the given drink, the following calculations must be performed:

-First, it must be determined how many people do not prefer any of the drinks, in percentages, subtracting the 65% who like both from the percentages of each particular drink, and adding these results.

  • (73 - 65) + (85 - 65) + 65 = X
  • 8 + 20 + 65 = X
  • 93 = X

-Therefore, the 210 people who do not like any drink are 7 percent of the total survey. Therefore, to determine the total number of people who participated, the following cross multiplication must be carried out.

  • 7 = 210
  • 100 = X
  • 100 x 210/7 = X
  • 3000 = 7

3000 - 210 = 2790

Therefore, 3000 people participated in the survey, of which 2790 like some type of drink.

Learn more about cross multiplication in https://brainly.com/question/24327293.

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