Question

Hannah's school hosted a book donation. There are 150150 students at her school, and they donated a total of bb books! Hannah donated 33 times as many as the average number of books each student donated.
How many books did Hannah donate?

Write your answer as an expression.

Answer 1

Answer:

$\frac{b}{50}$ 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.

$\text{Average number of books donated by each student}=\frac{\text{Total number of books}}{\text{Total number of students}}$

$\text{Average number of books donated by each student}=\frac{b}{150}$

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:

$\text{Number of books donated by Hannah}=3\times\frac{b}{150}$

Upon simplifying we will get,

$\text{Number of books donated by Hannah}=\frac{b}{50}$

Therefore, Hannah donated $\frac{b}{50}$ books.