a group of 60 students were asked whether they watch tv patrol or 24 oras or both programs depending on the news 38 of these students watch tv patrol and 32 watch 24 oras​

a. How many watch TV Patrol only? 28

b. How many watch 24 Oras only? 22

c. How many watch both news programs? 10

Explanation:

Venn Diagram Word Problem

To know the number of students who watch TV Patrol, 24 Oras and both news program, we have to use a Venn diagram. The Venn diagram is used to show the representation of two or more classifications and numbers involved in the problem in the form of overlapping circles.

Let us now analyze the given problem above, using the Venn diagram.

There are two classifications in the given problem above: students who watch TV Patrol and students who watch 24 Oras.

Draw two overlapping circles labelled outside with a total in each: TV Patrol - 38; 24 Oras - 32. (I will attach the Venn diagram.)

Using the information in the problem, we are going to fill in the Venn diagram.

Add the number of students who watch TV Patrol and 24 Oras.

38 + 32 = 70

Since its total is more than the total number of students, we have to take away.

70 - 60 = 10

This means that 10 of the students watch both of the news programs. Therefore, we have to write 10 in the overlap.

To know the number of students who only watch each news program, we have to take away 10 to each total count.

TV Patrol = 38 - 10 = 28

24 Oras = 32 - 10 = 22

Write 28 in the TV Patrol part and 22 in the 24 Oras.

28 + 10 + 22 = 60 ✔

For the short explanation on how to use Venn diagram in a word problem, visit the link:

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