Write each of the following as an algebraic expression.
A teacher handed out in packs of notebooks Each pack contained notebooks. Now the teacher has 13 notebooks left.
How many notebooks did the teacher have originally?
The correct answer and explanation is:
Let’s represent the given situation with an algebraic expression.
Let pp represent the number of packs the teacher handed out, and nn represent the number of notebooks in each pack. The teacher originally had a total of p×np \times n notebooks.
The teacher has 13 notebooks left after handing out pp packs of notebooks. This means that after distributing the notebooks, the total remaining is 13.
Therefore, the total number of notebooks the teacher had originally can be expressed as: Total notebooks originally=p×n+13\text{Total notebooks originally} = p \times n + 13
In this expression:
- p×np \times n represents the total number of notebooks handed out in packs.
- +13+ 13 represents the remaining notebooks.
This is the algebraic expression for the total number of notebooks the teacher originally had.
To find the exact value for the number of notebooks, more information is needed about the number of packs pp and the number of notebooks in each pack nn. However, based on the given problem, this expression will correctly describe the total number of notebooks the teacher had at the beginning.