Katherine has $460 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 $362.68.
She buys 3 bicycle reflectors for $10.20 each and a pair of bike gloves for $12.54.
She plans to spend some or all of the money she has left to buy new biking outfits for $27.09 each.

Use the drop-down menu below to write an inequality representing oo, the number of outfits she can buy while staying within her budget.

To create the inequality, we need to calculate the total amount of money Katherine has already spent and then determine how many biking outfits she can buy while staying within her budget.

### Step 1: Calculate the total amount spent on other items.
- Cost of the bicycle: $362.68
- Cost of 3 bicycle reflectors: $ 3 \times 10.20 = 30.60 $
- Cost of bike gloves: $12.54

Total spent on other items = $ 362.68 + 30.60 + 12.54 = 405.82 $

### Step 2: Calculate how much money Katherine has left.
Katherine started with $460. So, the money left after buying these items is:
\[ 460 - 405.82 = 54.18 \]

### Step 3: Write the inequality representing the number of outfits (oo) Katherine can buy.
Each biking outfit costs $27.09. Let oo represent the number of outfits she can buy. The cost of oo outfits would be $ 27.09 \times \text{oo} $.

To stay within her budget, the cost of the outfits must be less than or equal to the money she has left:
\[ 27.09 \times \text{oo} \leq 54.18 \]

Thus, the inequality is:
\[ \boxed{27.09 \times \text{oo} \leq 54.18} \]

Would you like more details or have any questions about this solution?

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Here are 5 follow-up questions to expand on the information:
1. How many outfits can Katherine buy if she decides to spend all the money she has left?
2. What is the maximum amount Katherine could save if she buys only one outfit?
3. What would be the inequality if each outfit costs $30 instead?
4. If Katherine had a budget of $500, how many outfits could she buy then?
5. What would the inequality look like if the cost of each outfit increased by $5?

**Tip:** When solving inequalities, always remember to carefully consider all parts of the problem, especially the given constraints.

Explore how Katherine spends $460 at a bicycle store on a new bicycle, reflectors, and bike gloves. Calculate the number of biking outfits she can buy with the money left while staying within her budget. Each outfit costs $27.09.

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