To find the number of newspapers in this scenario, we can use some logical deductions based on the information given.
We know that:
- There are 300 students in total.
- Each student reads 5 newspapers.
- 60 students read every newspaper.
Let’s denote the total number of newspapers as N. Since 60 students read every newspaper, we can infer that these 60 students are a subset of the students who read newspapers.
If every student (300 students) reads 5 newspapers, the total number of newspaper readings (or instances of students reading a newspaper) is:
Total readings = 300 students * 5 newspapers = 1500 readings.
Now, since 60 students read every newspaper, each of these newspapers is read by these 60 students. Therefore, the total readings contributed by these 60 students across all newspapers is:
Total readings by 60 students = 60 students * N newspapers = 60N readings.
Since the total number of readings must be equal to the readings from the entire group of students, we equate:
1500 readings = 60N readings.
Solving for N gives:
N = 1500 / 60 = 25.
Thus, the total number of newspapers is 25.