To determine the maximum number of packages of stickers Emma can buy, we start with her available budget after her expenses.
- Emma has $26.00.
- She spent $12.81 on a book, leaving her with: \[ 26 - 12.81 = 13.19 \]
- She also needs to set aside $10.00 for lunch, which further reduces her available funds: \[ 13.19 - 10.00 = 3.19 \]
Now, we'll denote the number of sticker packages she can buy as \( p \). Each package costs $0.42. To find the maximum number of packages Emma can buy, we need to set up the following inequality, which includes the available budget after her expenses:
\[ 0.42p \leq 3.19 \]
This can be rewritten in the context of the possible options provided:
The correct inequality is: \[ 0.42p + 22.81 \leq 26 \] as this considers her total expenses (including the book and lunch).
Question 1 Answer: The inequality that should be used to solve this problem is:
- 0.42p + 22.81 ≤ 26.
Question 2: Maximum Number of Packages Emma Can Buy Now, we can solve for \( p \): \[ 0.42p \leq 3.19 \] Dividing both sides by 0.42 gives us: \[ p \leq \frac{3.19}{0.42} \approx 7.595 \] Since \( p \) must be a whole number (packages), the maximum number of packages Emma can buy is \( 7 \).
Question 2 Answer: The maximum number of packages Emma can buy is 7.