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To help with this problem, let's break it down step by step.

### Information from the problem:
- **Keilantra's total budget:** $660.
- **Expenses so far:**
  1. She buys a **new bicycle** for $488.20.
  2. She buys **2 bicycle reflectors** for $11.17 each. So, the total for the reflectors is $2 \times 11.17 = 22.34$.
  3. She also buys a **pair of bike gloves** for $19.05.
  
   The total spent on these items is:
   \[
   488.20 + 22.34 + 19.05 = 529.59
   \]

- **Money left after these purchases:**
   \[
   660 - 529.59 = 130.41
   \]

### New item purchase:
- She plans to spend some or all of the remaining money on biking outfits, each costing $37.26.

Let **$x$** represent the number of biking outfits she plans to buy. Each outfit costs $37.26, so the total cost for $x$ outfits will be $37.26 \times x$.

### Inequality setup:
Keilantra has $130.41 left to spend on the biking outfits. Therefore, the total cost of the outfits must be less than or equal to the remaining amount of $130.41.

The inequality would be:
\[
37.26x \leq 130.41
\]

### Now to solve for $x$:
To find the maximum number of biking outfits she can buy, solve the inequality:

\[
x \leq \frac{130.41}{37.26} \approx 3.5
\]

Since she can't buy half an outfit, the maximum number of outfits she can buy is 3.

Thus, the inequality is:
\[
37.26x \leq 130.41
\]

Would you like me to explain any step in more detail? 

### Relative Questions:
1. How do you solve inequalities involving decimals?
2. What happens if Keilantra increases her budget?
3. How can you determine if the inequality is correct?
4. What if each biking outfit had a different price?
5. How would this change if Keilantra bought additional accessories?

### Tip:
Always remember to check if your final answer makes practical sense in real-world scenarios (e.g., buying part of an item may not be possible).

Keilantra has $660 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 $488.20, she buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05. She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each. Write and solve an inequality which can be used to determine x, the number of outfits Keilantra can purchase while staying within her budget.

Learn how to solve a budgeting problem using inequalities. Keilantra has $660 to spend on biking gear, and after buying a bike, reflectors, and gloves, she wants to determine how many biking outfits she can afford within her remaining budget. Includes detailed step-by-step algebraic solution for solving inequalities.

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