In a surveyor of 200 newspaper readers,181 of them read daily times,142 read the guardian,117 read the punch and each reads at least one of the three papers. If 75 read the daily times and the guardian,60 read the daily times and the punch and 54 read the guardian and the punch.
a: draw a Venn diagram to illustrate this information
b: How many readers read;
1: All three papers
2: Exactly two of the papers
3: Exactly one of the papers
4: The guardian alone
I don't understand you
I al not seeing any answers
a: To draw a Venn diagram representing this information, follow these steps:
1. Draw a rectangle to represent the 200 newspaper readers.
2. Label the three circles as "Daily Times," "Guardian," and "Punch."
3. Place the circles so that they overlap with each other, indicating that the readership is not exclusive to any single paper.
4. Inside the "Daily Times" circle, write the number 181, as this is the number of readers who read the Daily Times.
5. Inside the "Guardian" circle, write the number 142, as this is the number of readers who read the Guardian.
6. Inside the "Punch" circle, write the number 117, as this is the number of readers who read the Punch.
7. Write the numbers 75, 60, and 54 in the overlapping regions between the circles, representing the number of readers who read both newspapers.
Daily Times (181) Punch (117)
75 60
54
Guardian (142)
b: How many readers read;
1: All three papers
To determine the number of readers who read all three papers, find the overlap between all three circles. In the given information, it does not provide a direct number, so we need to use the principle of inclusion-exclusion.
To do this, start by adding up the number of readers in each circle: 181 (Daily Times) + 142 (Guardian) + 117 (Punch) = 440.
Then, subtract the total number of readers from this sum, which is given as 200 (the total surveyed readers).
440 - 200 = 240
Therefore, there are 240 readers who read all three papers.
2: Exactly two of the papers
To determine the number of readers who read exactly two papers, add up the numbers in each of the overlapping regions between the circles: 75 (Daily Times and Guardian) + 60 (Daily Times and Punch) + 54 (Guardian and Punch) = 189.
So, there are 189 readers who read exactly two papers.
3: Exactly one of the papers
To determine the number of readers who read exactly one paper, subtract the sum of the previous results from the total number of readers surveyed:
200 (total surveyed) - 240 (all three papers) - 189 (exactly two papers) = -229
Since a negative number doesn't make sense in this context, it means there must be an error or overlap in the data provided.
4: The Guardian alone
To find the number of readers who read the Guardian alone, subtract the number of readers who read the Guardian and other papers from the total number who read the Guardian:
142 (Guardian readers) - 75 (Guardian and Daily Times readers) - 54 (Guardian and Punch readers) = 13
Therefore, 13 readers read only the Guardian.
Stupid
26666×55677*8877+*77÷777=7777777777888888888954432134579ⁿⁿ
#1) 181+142+117-(75+60+54)+x = 200
I suspect a typo.