In a class of 300 students, every student reads 5 news papers and every news paper is read by 60 students.…
In a class of 300 students, every student reads 5 news papers and every news paper is read by 60 students. Then the number of newspapers is
at least 30
at most 20
exactly 25
exactly 10
Solution
Let us approach this problem from the perspective of the number of reading sessions:
The total number of students is 300. Each student reads 5 newspapers.
The total reading sessions \(=300 \times 5=1500\)
In total there are 1500 reading sessions in a day.
Given that, 60 students read every newspaper.
In other words, one newspaper undergoes 60 reading sessions.
Hence, for 60 reading sessions, 1 newspaper is enough.
So, we need to find for 1500 reading sessions how many newspapers are required.
\(\begin{aligned}
& 60 \times N=1500 \\
& N=1500 / 60=25
\end{aligned}\)
Therefore, 25 newspapers are required for a college of 300 students.
Thus, the number of newspapers required is \(25\).