https://file.aiquickdraw.com/mathbot/file/1727744414540425v6qc7.jpg

Let's break down the problem step-by-step:

### Given Information:
- **Total budget**: $640.00
- **Items Tariq has already purchased**:
  - **Bicycle**: $291.24
  - **Bicycle reflectors**: 4 units at $19.56 each → $ 4 \times 19.56 = 78.24 $
  - **Pair of bike gloves**: $16.52

### Calculating Total Spent So Far:
\[
291.24 + 78.24 + 16.52 = 386.00
\]

### Remaining Budget:
\[
640.00 - 386.00 = 254.00
\]

### Writing the Inequality:
Tariq wants to buy **biking outfits** for $50.80 each. Let $ x $ represent the number of biking outfits he can buy.

The inequality to represent this situation is:

\[
50.80x \leq 254.00
\]

### Solving the Inequality:
\[
x \leq \frac{254.00}{50.80} \approx 5
\]

### Conclusion:
Tariq can buy up to **5 biking outfits** while staying within his budget.

---

Would you like further details or have any questions? Here are 5 additional questions to explore this scenario:

1. What if Tariq wants to keep at least $50 in his budget? How many outfits can he buy then?
2. How would the solution change if the price of each biking outfit increased by 10%?
3. What if he bought only 3 bicycle reflectors instead of 4? How many outfits could he buy?
4. What would be his remaining budget after buying the maximum number of biking outfits?
5. If the budget was increased to $700, how many biking outfits could he afford?

**Tip**: When setting up inequalities, always start by defining variables and the relationship between cost and budget constraints.

Tariq has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $291.24. He buys 4 bicycle reflectors for $19.56 each and a pair of bike gloves for $16.52. He plans to spend some or all of the money he has left to buy new biking outfits for $50.80 each. Write and solve an inequality which can be used to determine x, the number of outfits Tariq can purchase while staying within his budget.

Learn how to solve an inequality to determine the number of biking outfits Tariq can buy while staying within a $640 budget. This problem covers concepts like setting up inequalities and simple budget calculations, perfect for students in Grades 6-8.

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