https://file.aiquickdraw.com/mathbot/file/1726704410815e4x366jf.jpg

The problem describes Kiran preparing to host a football game gathering where 10 people will attend. Each person, including Kiran's family, will receive 12 ounces of sparkling water and 3 ounces of pretzels. The goal is to find an equation that represents Kiran's budget based on the number of people attending the event.

Key points:
- 10 people will be there, including Kiran's family.
- Each person will consume 12 ounces of sparkling water and 3 ounces of pretzels.
- Sparkling water comes in bottles containing 22 ounces and costs $1.50 each.
- Pretzels come in packages containing 16 ounces and cost $2.99 each.

The variables are:
- $ s $: total ounces of sparkling water.
- $ p $: total ounces of pretzels.
- $ b $: Kiran's total budget in dollars.

We need to calculate the total cost for sparkling water and pretzels and form an equation for $ b $.

### Step-by-step analysis:

1. **Total ounces of sparkling water needed**:
   \[
   s = 12 \times 10 = 120 \, \text{ounces}
   \]
   Since each bottle contains 22 ounces, the number of bottles needed is:
   \[
   \frac{120}{22} \approx 5.45 \, \text{bottles}.
   \]
   The total cost for sparkling water is:
   \[
   1.50 \times 5.45 \approx 8.18 \, \text{dollars}.
   \]

2. **Total ounces of pretzels needed**:
   \[
   p = 3 \times 10 = 30 \, \text{ounces}.
   \]
   Since each package contains 16 ounces, the number of packages needed is:
   \[
   \frac{30}{16} \approx 1.875 \, \text{packages}.
   \]
   The total cost for pretzels is:
   \[
   2.99 \times 1.875 \approx 5.61 \, \text{dollars}.
   \]

3. **Total budget**:
   The total budget $ b $ is the sum of the costs for sparkling water and pretzels:
   \[
   b = 8.18 + 5.61 \approx 13.79 \, \text{dollars}.
   \]

### Matching to the options:

- **Option C**: $ 1.50s + 2.99p = b $ represents the correct form because:
   - $ s $ is the total ounces of sparkling water.
   - $ p $ is the total ounces of pretzels.
   - The cost of sparkling water is $1.50 per 22 ounces and pretzels are $2.99 per 16 ounces.

Thus, the correct answer is **C**.

---

Would you like more details on any part of the solution, or have any questions? Here are five related questions you might find useful:

1. How would the equation change if more people joined the gathering?
2. What if the size of a pretzel package or bottle of sparkling water changed?
3. How would you calculate the exact cost if there were leftover sparkling water or pretzels?
4. Can you explain how to calculate the number of bottles and packages more accurately?
5. How can we create a general formula for any number of people at the gathering?

**Tip**: When working with real-world problems, break the problem into smaller steps and tackle one calculation at a time for clarity.

Kiran’s family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran’s family, there will be 10 people at the gathering. A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let n represent the number of people watching the football game, s represent the ounces of sparkling water, p represent the ounces of pretzels, and b represent Kiran's budget in dollars. Which equation best represents Kiran's budget?

Learn how to calculate Kiran's total budget for serving sparkling water and pretzels at a football game gathering using algebra. This real-world problem involves unit conversion, linear equations, and budgeting for a group of 10 people.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation