The daily time ,The New Nigeria and the Observer sell equal numbers to a sample of 497 readers.Analysis reveal that 26 people buy the New Nigeria and Observer,50 buy the daily times and Observer ,38 buy the New Nigeria and daily times and 11 buy all the three papers .how many people buy only (1)the daily times (2) Observer (3)one of these papers?

Traci

2 years ago

To find the number of people who buy only the Daily Times, we need to subtract the number of people who buy the Daily Times and Observer, the number of people who buy the Daily Times and New Nigeria, and the number of people who buy all three papers from the total number of people who buy the Daily Times.

Given information:
- Total number of readers: 497
- Number of people who buy the New Nigeria and Observer: 26
- Number of people who buy the Daily Times and Observer: 50
- Number of people who buy the New Nigeria and Daily Times: 38
- Number of people who buy all three papers: 11

To find the number of people who buy only the Daily Times:
Number of people who buy only the Daily Times = Number of people who buy the Daily Times and Observer + Number of people who buy the Daily Times and New Nigeria + Number of people who buy only the Daily Times and all three papers

Number of people who buy only the Daily Times = (50 - 11) + (38 - 11) + 0
Number of people who buy only the Daily Times = 39 + 27
Number of people who buy only the Daily Times = 66

Therefore, 66 people buy only the Daily Times.

To find the number of people who buy only the Observer, we can follow the same approach:

Number of people who buy only the Observer = Number of people who buy the Daily Times and Observer + Number of people who buy the New Nigeria and Observer + Number of people who buy only the Observer and all three papers

Number of people who buy only the Observer = (50 - 11) + (26 - 11) + 0
Number of people who buy only the Observer = 39 + 15
Number of people who buy only the Observer = 54

Therefore, 54 people buy only the Observer.

To find the number of people who buy only one of these papers, we need to add the number of people who buy only the Daily Times and the number of people who buy only the Observer:

Number of people who buy only one of these papers = Number of people who buy only the Daily Times + Number of people who buy only the Observer

Number of people who buy only one of these papers = 66 + 54
Number of people who buy only one of these papers = 120

Therefore, 120 people buy only one of these papers.