In a collage of 400 students every students read 5 newspapers and every newspaper is read by 80 students. The number of newspaper is (a) 25 (b) at the most 20 (c) at the most 25 (d) at least 25

Short Answer

Expert verified
The number of newspapers in the college is 25 (option a), calculated as follows: Total number of newspapers read by all students = 400 × 5 = 2000. Number of newspapers in the college = 2000 ÷ 80 = 25.

Step by step solution

01

Understand the given information

First, let's take a look at the given information: 1. There are 400 students in the college. 2. Every student reads 5 newspapers. 3. Every newspaper is read by 80 students.
02

Calculate the total number of newspapers read by all students

Since every student reads 5 newspapers, we can find the total number of newspapers read by all 400 students by multiplying the number of students by the number of newspapers each student reads: Total number of newspapers read by all students = Number of students × Number of newspapers each student reads Total number of newspapers read by all students = 400 × 5 = 2000
03

Calculate the number of newspapers in the college

Now, we know that every newspaper is read by 80 students. Therefore, to find out the number of unique newspapers in the college, we can divide the total number of newspapers read by all students by the number of students that read each newspaper: Number of newspapers in the college = Total number of newspapers read by all students ÷ Number of students that read each newspaper Number of newspapers in the college = 2000 ÷ 80 = 25 The number of newspapers in the college is 25, which corresponds to option (a).

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