A television poll of 151 persons found that 68 watched ""Law and Disorder""; 61 watched ""25""; 52 watched ""The Tenors""; 16 watched both ""Law and Disorder"" and ""25""; 25 watched both ""Law and Disorder"" and ""The Tenors""; 19 watched both ""25 "" and ""The Tenors""; and 26 watched none of these shows. How many persons watched all three shows?

Question

Social Studies

Guest

23 March, 17:56

A television poll of 151 persons found that 68 watched ""Law and Disorder""; 61 watched ""25""; 52 watched ""The Tenors""; 16 watched both ""Law and Disorder"" and ""25""; 25 watched both ""Law and Disorder"" and ""The Tenors""; 19 watched both ""25 "" and ""The Tenors""; and 26 watched none of these shows. How many persons watched all three shows?

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Answers (1)

Know the Answer?

Doobie · Answer 1

The answer is 4.

Explanation:

If we are trying to know how many people watched the show, we have to substract 26 that watched none of the shows, so:

151-26=125

Now that we know the numbers, the easiest way to know the "x" is with a Venn Diagram. But the equation is also quiet simple.

125 (total people) - 68 (Law and Disorder) - 61 (25) - 52 (The Tenors) + 16 (Law and Disorder"" and ""25"") + 25 ("Law and Disorder"" and ""The Tenors") + 19 (""25 "" and ""The Tenors"") = 4

That is: 15-68-61-52+16+25+19=4

4 people watch all three shows.