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. please write your inequality in the form a, o, plus, b, is less than or equal to, cao+b≤c.

Let's break down the total amount Audrey spends, and then determine how many outfits she can buy while staying within her budget.

### Initial Purchases:
- Bicycle: $259.52
- Two bicycle reflectors at $3.07 each:  
  $ 2 \times 3.07 = 6.14 $
- Pair of bike gloves: $29.12

### Total Spent So Far:
\[
259.52 + 6.14 + 29.12 = 294.78
\]

### Remaining Money:
Audrey has $440, so after these purchases, the remaining amount is:
\[
440 - 294.78 = 145.22
\]

### Inequality Setup:
Each biking outfit costs $72.61, and Audrey can buy **o** outfits. To stay within her remaining budget of $145.22, we can set up the inequality:

\[
72.61o \leq 145.22
\]

Now let's solve for **o**:

\[
o \leq \frac{145.22}{72.61} \approx 2
\]

### Conclusion:
Audrey can buy at most 2 biking outfits while staying within her budget.

---

Would you like more details on solving the inequality or any other step? 

Here are five related questions you might want to explore:
1. How would the inequality change if the price of each outfit was different?
2. What if Audrey had an extra $50 to spend—how would that affect the number of outfits she could buy?
3. If Audrey decided to return the gloves, how many more outfits could she buy?
4. How would the situation change if there was a sale with a 10% discount on each outfit?
5. Can we model her total expenses as a function of the number of outfits?

**Tip:** When solving inequalities, make sure to check if the division yields a whole number or if rounding is needed, especially in practical scenarios like shopping.

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. Please write your inequality in the form a, o, plus, b, is less than or equal to, cao+b≤c.

Learn how to solve an inequality problem where Audrey has $440 to spend at a bicycle store. She buys a bicycle, reflectors, and gloves, and needs to find out how many biking outfits she can buy while staying within her budget. This problem involves inequalities and basic arithmetic, suitable for students in Grades 6-8.

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