Kadeem has $680 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 $470.65.
He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18.
He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Kadeem can purchase while staying within his budget

Let's set up the inequality to solve for $ x $, the number of biking outfits Kadeem can buy.

### Step 1: Calculate the total cost of the initial purchases
1. **Cost of the bicycle** = $470.65
2. **Cost of the reflectors** = $ 2 \times 7.87 = 15.74 $
3. **Cost of the gloves** = $15.18

Adding these together gives:
\[
470.65 + 15.74 + 15.18 = 501.57
\]

So, Kadeem has spent $501.57 so far.

### Step 2: Determine the remaining money
Since Kadeem's total budget is $680, the amount left after the initial purchases is:
\[
680 - 501.57 = 178.43
\]

### Step 3: Set up the inequality for the number of outfits
Each biking outfit costs $50.98. Let $ x $ be the number of outfits he can purchase. The total cost of $ x $ outfits must be less than or equal to the remaining amount of $178.43. This gives the inequality:
\[
50.98x \leq 178.43
\]

### Step 4: Solve the inequality
To solve for $ x $, divide both sides by 50.98:
\[
x \leq \frac{178.43}{50.98}
\]
\[
x \leq 3.5
\]

Since $ x $ must be a whole number, Kadeem can purchase at most **3 outfits** while staying within his budget.

### Final Answer
Kadeem can buy a maximum of 3 biking outfits.

---

Would you like further clarification or more details?

1. How would the answer change if the biking outfits were a different price?
2. What if Kadeem had a different initial budget?
3. How would a discount on the bicycle affect the number of outfits he can buy?
4. What if Kadeem wanted to save a portion of his remaining money instead of spending it all?
5. Could Kadeem afford additional items with his remaining budget?

**Tip:** When setting up inequalities with a budget, break down each item's cost and total it to see how much remains for the next set of items.

Kadeem has $680 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 $470.65. He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18. He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each. Write and solve an inequality which can be used to determine x, the number of outfits Kadeem can purchase while staying within his budget.

Learn how to set up and solve an inequality for Kadeem's budget problem. With $680, he buys a bicycle, reflectors, and gloves, leaving $178.43 to purchase biking outfits at $50.98 each. Discover how many outfits he can buy using algebraic inequalities, suitable for students in Grades 6-8.

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