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The table above shows the result of a survey done on 45 people in a residential area. 25 people in the survey had a television and 10 people had neither a television nor a cell phone.. If the number of people who did not have a television was equal to the number of people who had a television but did not have a cell phone, what was the ratio of the number of people who did not have a cell phone and the number of people who did not have a television?
  • a)
    1/2
  • b)
    3/5
  • c)
    2/3
  • d)
    3/2
  • e)
    5/3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The table above shows the result of a survey done on 45 people in a re...
Given
  • Number of people who were surveyed = 45
  • Number of people who had a television = 25
  • Number of people who neither had a television nor a cell phone = 10
  • (Number of people who did not have a television) = (Number of people who had a television but did not have a cell phone)

To Find: 
  • Let this ratio be b

Approach
  1. To find the value of b, we need to find:
    1. Number of people who did not have a cell phone
    2. Number of people who did not have a television
  2. Number of people not having a television
    1. Let’s assume the number of people not having a television but having a cell phone to be x
      1. So, number of people not having a television = 10 + x
  3. Also, let’s assume the number of people having a television and a cell phone be y
    1. So, number of people having a television but not having a cell phone = 25 – y
  4. Number of people not having a cell phone
    1. Also, the number of people who do not have a cell phone = x + y
    2. Number of people who do not have a cell phone = 35 – y
  • So, total number of people = 25 + (x+ 10) = 35 + x
  • Since, we know that total number of people = 45, we will use this relation to find the value of x
  • Also, since we know that
    1.  Number of people who did not have a television = Number of people who had a television but did not have a cell phone
    2. We wil use the above relation to find the value of y and hence the value of b
Working Out
  1. Total number of people = 35 + x = 45
    1. So, x = 10
  2. So, number of people who did not have a television = x + 10 = 20
  3. Number of people who had a television but did not have a cell phone = 25 – y
  4. So, 20 = 25 – y
    1. y = 5
  5. Hence, number of people who did not have a cell phone = 35 – y = 30
  6. Number of people who did not have television = x + 10 = 20
Answer: D
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The table above shows the result of a survey done on 45 people in a residential area. 25 people in the survey had a television and 10 people had neither a television nor a cell phone.. If the number of people who did not have a television was equal to the number of people who had a television but did not have a cell phone, what was the ratio of the number of people who did not have a cell phone and the number of people who did not have a television?a)1/2b)3/5c)2/3d)3/2e)5/3Correct answer is option 'D'. Can you explain this answer?
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