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.

Question

Which inequality should be used to solve this problem?

(1 point)
Responses

0.42p + 2.81 ≥ 26
0.42p + 2.81 ≥ 26

0.42p + 2.81 ≤ 26
0.42p + 2.81 ≤ 26

0.42p + 22.81≤ 26
0.42p + 22.81≤ 26

0.42p + 22.81≥ 26
0.42p + 22.81≥ 26
Question 2
(1 point)
The maximum number of packages Emma can buy is
.

Answer 1

To determine how much money Emma has left after her book purchase and the amount she needs to set aside for lunch, we can set up the situation as follows:

1. Total money Emma has: $26.00
2. Amount spent on a book: $12.81
3. Amount set aside for lunch: $10.00

First, we calculate how much money Emma has left after buying the book:

\[ \text{Remaining money} = 26.00 - 12.81 = 13.19 \]

Next, we subtract the amount she needs to set aside for lunch:

\[ \text{Money available for stickers} = 13.19 - 10.00 = 3.19 \]

Now we need to describe the maximum number of packages of stickers \( p \) that she can buy, where each package costs $0.42.

The amount she can spend on stickers is given by the inequality:

\[ 0.42p \leq 3.19 \]

To solve for \( p \), we can rewrite it as:

\[ p \leq \frac{3.19}{0.42} \]

Calculating that gives us:

\[ p \leq 7.5952 \]

Since \( p \) must be a whole number, the maximum number of packages Emma can buy is \( 7 \).

Answers:

Question 1: The correct inequality to solve this problem is:

0.42p ≤ 3.19 (not listed, but that's the context for the relevant setup)

Question 2: The maximum number of packages Emma can buy is 7.

Answer 2

a b c or d