Khan Academy $\newline$ Donate [? $\newline$ Naymet k $\newline$ Quiz $4$ $\newline$ 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 $\newline$ Report a problem

Full solution

Q. Khan Academy

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Donate [?

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Naymet k

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Quiz

4

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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.

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How many books did Hannah donate?

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Write your answer as an expression.

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books

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Report a problem

Denote Total Number of Books: Let's denote the total number of books donated by all students as $b$ . The average number of books donated by each student is therefore $b$ divided by the total number of students, which is $150$ . So, the average number of books per student is $\frac{b}{150}$ .
Calculate Hannah's Donation: Hannah donated $3$ times the average number of books. To find out how many books Hannah donated, we multiply the average number of books per student by $3$ . This gives us $3 \times \left(\frac{b}{150}\right)$ .
Simplify Expression: Simplify the expression $3 \times \left(\frac{b}{150}\right)$ to get the final expression for the number of books Hannah donated. This simplification results in $\frac{3b}{150}$ .
Check for Common Factors: We can check if the expression $(3b)/150$ is simplified by looking for common factors in the numerator and the denominator. However, since there are no further common factors, the expression is already in its simplest form.