Emma has $26 for her weekend expenses. She spent $12.81, including tax, on a new book. Additionally, she needs to set aside $10.00 for a lunch outing next week. If stickers cost $0.42 per package, tax included, describe the maximum number of packages (p) Emma can buy.

Which inequality should be used to solve this problem?

(1 point)
Responses

0.42p + 2.81 ≥ 26

0.42p + 22.81≥ 26

0.42p + 22.81≤ 26

0.42p + 2.81 ≤ 26
Question 2
(1 point)
The maximum number of packages Emma can buy is

1 answer

To determine the maximum number of packages of stickers Emma can buy, we start with her available budget after her expenses.

  1. Emma has $26.00.
  2. She spent $12.81 on a book, leaving her with: \[ 26 - 12.81 = 13.19 \]
  3. 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.