Almost everyone at the Bright Corporation reads a daily newspaper on a regular basis. In fact, altogether te company employs 2,940 people,of whom70% read The Daily News,45% read The Courier and 60% read The inquirer.

One fourth of the employees reads The Daily News and The Courier, and 30% read The Inquirer and The Courier, and 35% read The Daily News and The Inquirer. One tenth of the people read all three newspapers on a regular basis.

a. how many people read only The Daily news?

b. How many people read only The Courier?
c. How many people read on The Inquirer?

d. How many people don't read any newspaper?

Draw your 3-circle Venn diagram. Label the circles D,C,I

DCI = .1
so
DC only = .15 (.25-.10)
CI only = .20 (.30-.10)
DI only = .25 (.35-.10)

D only = .20 (.70 - .15 - .10 - .25)
C only = .00 (.45 - .15 - .10 - .20)
I only = .05 (.60 - .25 - .10 - .20)

Add up all the percentages and it is clear that only 90% of the employees read any papers.

That makes .9*2940 = 2646 readers.

So,

a. D only = .2*2940 = 588
b. C only = 0
c. I only = .05*2940 = 147
d. None = .10*2940 = 294

95% of the employees read any newspaper, therefore 5% don't read and newspaper. D should be 147

a. How many people read only The Daily News?

To determine this, we need to find the percentage of people who only read The Daily News. We will subtract the portion of people who read The Daily News and other newspapers from the total percentage of people who read The Daily News:
Percentage who read The Daily News = 70%
Percentage who read The Daily News and The Courier = 25%
Percentage who read The Daily News and The Inquirer = 35%
Percentage who read only The Daily News = Percentage who read The Daily News - Percentage who read The Daily News and The Courier - Percentage who read The Daily News and The Inquirer

Percentage who read only The Daily News = 70% - 25% - 35%
Percentage who read only The Daily News = 10%

To find the number of people who read only The Daily News, we multiply the percentage by the total number of employees (2,940):
Number of people who read only The Daily News = 10% of 2,940
Number of people who read only The Daily News = 0.10 * 2,940
Number of people who read only The Daily News = 294

b. How many people read only The Courier?
Using a similar approach, we can find the number of people who read only The Courier:
Percentage who read The Courier = 45%
Percentage who read The Daily News and The Courier = 25%
Percentage who read only The Courier = Percentage who read The Courier - Percentage who read The Daily News and The Courier - Percentage who read The Inquirer and The Courier

Percentage who read only The Courier = 45% - 25% - 30%
Percentage who read only The Courier = -10% (negative value indicates there are no people who read only The Courier)

Therefore, there are 0 people who read only The Courier.

c. How many people read only The Inquirer?
Using a similar approach, we can find the number of people who read only The Inquirer:
Percentage who read The Inquirer = 60%
Percentage who read The Inquirer and The Courier = 30%
Percentage who read only The Inquirer = Percentage who read The Inquirer - Percentage who read The Daily News and The Inquirer - Percentage who read The Inquirer and The Courier

Percentage who read only The Inquirer = 60% - 30% - 35%
Percentage who read only The Inquirer = -5% (negative value indicates there are no people who read only The Inquirer)

Therefore, there are 0 people who read only The Inquirer.

d. How many people don't read any newspaper?
To find the number of people who don't read any newspaper, we need to subtract the total percentage of people who read any newspaper from 100%:
Percentage who don't read any newspaper = 100% - Percentage who read The Daily News - Percentage who read The Courier - Percentage who read The Inquirer + Percentage who read all three newspapers

Percentage who don't read any newspaper = 100% - 70% - 45% - 60% + 10%
Percentage who don't read any newspaper = -65% (negative value indicates an impossible percentage)

Therefore, it seems there was an error in the data provided, as the percentages do not add up correctly.

To solve this problem, we can use a Venn diagram. Let's start by drawing three overlapping circles, one for each newspaper: The Daily News, The Courier, and The Inquirer.

a. To find the number of people who read only The Daily News, we need to subtract the number of people who read The Daily News and other newspapers from the total number of people who read The Daily News. From the information given, we know that 70% of 2,940 people read The Daily News, and 25% read The Daily News and The Courier. So, the number of people who read only The Daily News is:
70% - 25% = 45% of total employees
45% of 2,940 = (45/100) * 2,940 = 1,323 people

b. Similarly, to find the number of people who read only The Courier, we need to subtract the number of people who read The Courier and other newspapers from the total number of people who read The Courier. From the information given, we know that 45% of 2,940 people read The Courier, and 25% read The Daily News and The Courier. So, the number of people who read only The Courier is:
45% - 25% = 20% of total employees
20% of 2,940 = (20/100) * 2,940 = 588 people

c. To find the number of people who read only The Inquirer, we need to subtract the number of people who read The Inquirer and other newspapers from the total number of people who read The Inquirer. From the information given, we know that 60% of 2,940 people read The Inquirer, and 35% read The Daily News and The Inquirer. So, the number of people who read only The Inquirer is:
60% - 35% = 25% of total employees
25% of 2,940 = (25/100) * 2,940 = 735 people

d. To find the number of people who don't read any newspaper, we need to subtract the number of people who read at least one newspaper from the total number of employees. From the information given, we know that 10% of 2,940 people read all three newspapers, so the number of people who don't read any newspaper is:
Total employees - (Read at least one newspaper) = 2,940 - (10% of 2,940)
= 2,940 - (10/100) * 2,940
= 2,940 - 294
= 2,646 people

Therefore:
a. 1,323 people read only The Daily News.
b. 588 people read only The Courier.
c. 735 people read only The Inquirer.
d. 2,646 people don't read any newspaper.