Question

In the month of October, 80,000 unique people visited elitmus.com. 1.5 pages were visited on an
average by each visitor. There were 48,000 visits recorded on the Job page, 44000 on the Test
page and remaining visits were on adda page. If 16000 people visited all 3 pages and 10000
people visited only one page.
How many people visited exactly 2 pages?
Write Your Answer Here:​

Answer 1

Answer:

correct answer is 64000

Answer 2

Final Answer:

The number of people visited exactly 2 pages of elitmus.com in the month of October is 31,000.

Given:

In the month of October, 80,000 unique people visited elitmus.com.

1.5 pages were visited on an average by each visitor.

There were 48,000 visits recorded on the Job page. 44000 on the Test

page and remaining visits were on adda page.

16000 people visited all 3 pages and 10000 people visited only one page.

To Find:

The number of people visited exactly 2 pages of elitmus.com in the month of October.

Explanation:

The following points are essential for the solution to the present problem.

• The Venn Diagram is used to indicate the number of people, that visited the elitmus.com in the month of October, along with the details of the three types of pages in every possible combination.
• The Venn Diagram is shown in the attached figure.

Step 1 of 3

As per the statement in the given problem, assume the following.

• The number of people visited exactly 3 pages of elitmus.com in the month of October, is w.
• The number of people visited exactly 1 page - the Job page of elitmus.com in the month of October, is j.
• The number of people visited exactly 1 page - the Test page of elitmus.com in the month of October, is t.
• The number of people visited exactly 1 page - the adda page of elitmus.com in the month of October, is a.
• The number of people visited exactly 2 pages for the possible combinations among the Job page, the Test page, the adda page of elitmus.com in the month of October, are x, y, z; respectively as shown in the attached figure.

Step 2 of 3

In accordance with the above data, write the following equation.

• The number of people visited exactly 2 pages of elitmus.com in the month of October, is

$=(x+y+z)$

• The number of people visited exactly 1 page of elitmus.com in the month of October, is

$=(j+t+a)\\=10,000$

• The number of people visited exactly 3 pages of elitmus.com in the month of October, is

$=w\\=16,000$

• The total number of the visits of people to elitmus.com in the month of October, is

= (Average page visit) X (Number of unique people)

$=1.5\times 80,000\\=1,20,000$

• The number of people visited the adda page of elitmus.com in the month of October, is

= (total visits) - (The visits on the Job page, and the Test page)

$=120000-(48000+44000)\\=120000-92000\\=28,000$

Step 3 of 3

Again, from the above calculations and the Venn Diagram (attached), write the following equation for the number of people visited the elitmus.com in the month of October, and solve it

$(j+t+a)+2(x+y+z)+3w=120000\\10000+2(x+y+z)+3\times16000=120000\\2(x+y+z)=120000-10000-48000\\2(x+y+z)=62000\\(x+y+z)=31,000$

Therefore, the required number of people visited exactly 2 pages of elitmus.com in the month of October is 31,000.

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