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In a survey of 250 people 180 like farming ,120 like civil service and every people like at least one occupation .Draw a Venn diagram and find the number of people who like farming as well as civil service. Also find how many people like onley civil service​

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mhanifa

Answer:

  • 50 and 70

Step-by-step explanation:

Given

  • Total = 250
  • Farming F = 180
  • Civil service C = 120
  • Both = B = ?

We have:

  • F + B = 180
  • C + B = 120
  • F + B + C = 250

Add the first two equations and subtract the third one to get the number of people who like both:

  • F + B + C + B - (F + B + C) = 180 + 120 - 250
  • B = 50

Now find the value of C - B, civil service only:

  • C - B = 120 - 50 = 70

The diagram will look like this:

Farming    |   Both (intersection)  |  Civil services

    130        |           50                     |         70

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