sets

[callum01]

A poll of 100 registered voters designed to find out how voters kept up with current events revealed the following facts.

65 watched the news on television.

39 read the newspaper.

39 listened to radio news.

20 watched TV news and read the newspaper.

27 watched TV news and listened to radio news.

9 read the newspaper and listened to radio news.

6 watched TV news, read the newspaper, and listened to radio news.

How many of the 100 people surveyed used only one of the three sources listed to keep up with current events?

 

[pka]

A poll of 100 registered voters designed to find out how voters kept up with current events revealed the following facts.

​

65 watched the news on television.

39 read the newspaper.

39 listened to radio news.

20 watched TV news and read the newspaper.

27 watched TV news and listened to radio news.

9 read the newspaper and listened to radio news.

6 watched TV news, read the newspaper, and listened to radio news.

How many of the 100 people surveyed used only one of the three sources listed to keep up with current events?

In this already prepared Venn diagram let \(M\) for television, \(E\) for news papers & \(P\) for radio.
In the diagram \(d=6\) because six people watched TV news, read the newspaper, and listened to radio news.
Because 20 watched TV news and read the newspaper, \(b=14\). Note that \(\bf 14+6=20\) So why is \(\large \bf b=14~?\)
Now you need to complete the Venn diagram. Note that \(a+b+c+d+e+f+g+h=100\)

 

[callum01]

thank you so much