Audrey has $440 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• She buys a new bicycle for $259.52.
• She buys 2 bicycle reflectors for $3.07 each and a pair of bike gloves for $29.12.
• She plans to spend some or all of the money she has left to buy new biking outfits for $72.61 each.
Write and solve an inequality which can be used to determine o, the number of outfits Audrey can purchase while staying within her budget.

Let's start by breaking down Audrey's spending to set up an inequality that represents the number of outfits she can buy while staying within her budget of $440.

### Step 1: Calculate the total amount spent on the initial purchases.

1. **Bicycle**: $259.52
2. **Reflectors**: She buys 2 reflectors at $3.07 each:
   \[
   2 \times 3.07 = 6.14
   \]
3. **Bike gloves**: $29.12

Now, let's sum up these amounts:
\[
259.52 + 6.14 + 29.12 = 294.78
\]

### Step 2: Determine the amount left after the initial purchases.

Audrey's total budget is $440. So, the remaining amount she can spend on biking outfits is:
\[
440 - 294.78 = 145.22
\]

### Step 3: Set up the inequality.

Let $ o $ represent the number of biking outfits Audrey can buy, each costing $72.61. The total cost for $ o $ outfits is $ 72.61o $. To stay within her remaining budget of $145.22, we set up the inequality:

\[
72.61o \leq 145.22
\]

### Step 4: Solve the inequality.

Divide both sides by 72.61 to find the maximum number of outfits Audrey can purchase:

\[
o \leq \frac{145.22}{72.61}
\]

Calculating this:

\[
o \leq 2
\]

### Conclusion:

Audrey can buy at most **2 biking outfits** while staying within her budget.

---

Would you like more details on any step or have any questions?

Here are five related questions you might find interesting:

1. What if the price of each outfit increased by 10%? How would this affect the number of outfits Audrey can buy?
2. How much would Audrey have left if she decided to buy only 1 outfit?
3. What if Audrey decided not to buy the bike gloves? How many outfits could she then afford?
4. How much of her budget is left if she buys the maximum number of outfits?
5. What would be the new budget constraint if the tax rate changes and increases the total cost?

**Tip:** Always double-check each step of your calculations to ensure accuracy, especially when dealing with inequalities and budget constraints.

Audrey has $440 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. • She buys a new bicycle for $259.52. • She buys 2 bicycle reflectors for $3.07 each and a pair of bike gloves for $29.12. • She plans to spend some or all of the money she has left to buy new biking outfits for $72.61 each. Write and solve an inequality which can be used to determine o, the number of outfits Audrey can purchase while staying within her budget.

Learn how to solve an inequality problem based on Audrey's $440 budget for bike gear and outfits. This problem covers essential algebraic concepts, including inequalities, basic arithmetic, and budgeting. Perfect for students in Grades 6-8.

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