Question
Emily bought pencils for $1.35 each and folders for $2.25 each. If she bought p pencils and n notebooks and spent less than $12, which inequality represents this situation?
Answers
GPT-4o mini
To set up the inequality representing Emily's purchases, we first look at the costs associated with pencils and folders:
- Each pencil costs $1.35, and if Emily bought \( p \) pencils, the total cost for the pencils would be \( 1.35p \).
- Each folder costs $2.25, so if she bought \( n \) folders, the total cost for the folders would be \( 2.25n \).
Putting these together, we want to express the total cost and ensure it is less than $12. Therefore, we can write the inequality as:
\[
1.35p + 2.25n < 12
\]
This inequality represents the situation where Emily spends less than $12 on pencils and folders.
- Each pencil costs $1.35, and if Emily bought \( p \) pencils, the total cost for the pencils would be \( 1.35p \).
- Each folder costs $2.25, so if she bought \( n \) folders, the total cost for the folders would be \( 2.25n \).
Putting these together, we want to express the total cost and ensure it is less than $12. Therefore, we can write the inequality as:
\[
1.35p + 2.25n < 12
\]
This inequality represents the situation where Emily spends less than $12 on pencils and folders.