Hannah's school hosted a book donation. There are $150$ students at her school, and they donated a total of $b$ books! Hannah donated $3$ times as many as the average number of books each student donated. $\newline$ How many books did Hannah donate? $\newline$ Write your answer as an expression. $\newline$ books

Full solution

Q. Hannah's school hosted a book donation. There are

150

students at her school, and they donated a total of

b

books! Hannah donated

3

times as many as the average number of books each student donated.

\newline

How many books did Hannah donate?

\newline

Write your answer as an expression.

\newline

books

Calculate Average: Let's find the average number of books donated per student. To do this, we divide the total number of books by the number of students. $\newline$ $\frac{150}{b}$
Find Hannah's Donation: Now, since Hannah donated $3$ times the average, we multiply the average number of books per student by $3$ to find out how many books Hannah donated. $\newline$ $\frac{150}{b} \times 3$
Simplify Expression: Simplify the expression to get the final answer. $\newline$ $\frac{150}{b} \times 3 = \frac{150 \times 3}{b} = \frac{450}{b}$