Hannah has 127 books in her collection. Her school is hosting a book donation. There are Z students at her school, and they each plan to donate the same number of books and reach a total donation of 300 books!

How many books will Hannah have in her collection after her donations? Write your answer as an expression.

1 answer

Let the number of books each student donates be \( x \). Since there are \( Z \) students and they aim to reach a total donation of 300 books, we can express this as:

\[ Z \cdot x = 300 \]

Now, to find out how many books Hannah will have after the donations, we can add the number of books she currently has (127) to the total number of donated books (300):

\[ \text{Total books after donation} = 127 + 300 \]

Now, we simplify this expression:

\[ 127 + 300 = 427 \]

Thus, after the donations, Hannah will have \( 427 \) books in her collection.

To summarize:

Hannah will have \( 427 \) books in her collection after the donations.