Question

emma has $26 for her weekend expenses . she spent $12.81 includingg tax on a new book. she needs to set aside $10 for a lunch outing next week. if stickers cost $0.42 per package including tax.describe the maximum number of packagges emma can buy.

which equation should you use to solve this problem.

the maxium number ea can buy is?

Answer 1

To find the maximum number of packages of stickers Emma can buy, we first need to calculate how much money she has left after her other expenses and then determine how many packages of stickers she can afford.

1. **Initial amount**: $26
2. **Book expense**: $12.81
3. **Lunch expense set aside**: $10

**Step 1: Calculate remaining money after the book purchase and before the lunch expense.**

Remaining money = Initial amount - Book expense
Remaining money = $26 - $12.81
Remaining money = $13.19

**Step 2: Calculate the money left for stickers after setting aside for lunch.**

Money available for stickers = Remaining money - Lunch expense set aside
Money available for stickers = $13.19 - $10
Money available for stickers = $3.19

**Step 3: Find how many packages of stickers Emma can buy.**
The cost of each package of stickers is $0.42.

Let \( x \) be the number of sticker packages Emma can buy. The equation to solve is:
\[ 0.42x \leq 3.19 \]

**Step 4: Solve for \( x \):**

To find \( x \):
\[ x \leq \frac{3.19}{0.42} \]

Calculating \( \frac{3.19}{0.42} \):
\[ x \leq 7.5952 \]

Since Emma cannot buy a fraction of a package, we round down to the nearest whole number:
**Maximum number of packages** \( x = 7 \)

Thus, Emma can buy a maximum of **7 packages** of stickers.