Answer:
[tex]\frac{b}{50}[/tex] books.
Step-by-step explanation:
We have been given that Hannah's school hosted a book donation.
Total number of students = 150.
Total number of books donated by all students = b.
Since we know that average is calculated by dividing the sum of the values in the set by their number.
[tex]\text{Average number of books donated by each student}=\frac{\text{Total number of books}}{\text{Total number of students}}[/tex]
[tex]\text{Average number of books donated by each student}=\frac{b}{150}[/tex]
Since we are told that Hannah donated 3 times as many as the average number of books each student donated. So books donated by Hannah will be:
[tex]\text{Number of books donated by Hannah}=3\times\frac{b}{150}[/tex]
Upon simplifying we will get,
[tex]\text{Number of books donated by Hannah}=\frac{b}{50}[/tex]
Therefore, Hannah donated [tex]\frac{b}{50}[/tex] books.