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Kiran's family is hosting a gathering to watch a football game. They plan to serve sparkling water and pretzels, preparing 12 ounces of sparkling water and some 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 [tex]$1.50[/tex]. A package of pretzels contains 16 ounces and costs [tex]$2.99[/tex]. Let:

- [tex]n[/tex] represent the number of people watching the football game,
- [tex]s[/tex] represent the ounces of sparkling water,
- [tex]p[/tex] represent the ounces of pretzels,
- [tex]b[/tex] represent Kiran's budget in dollars.

Which equation best represents Kiran's budget?

A. [tex]12s + 3p = b[/tex]

B. [tex]12 \cdot 10 + 3 \cdot 10 = b[/tex]

C. [tex]1.50s + 2.99p = b[/tex]

D. [tex]1.50 \cdot 6 + 2.99 \cdot 2 = b[/tex]

Answer :

To solve the problem, we need to find the equation that best represents Kiran's budget for serving sparkling water and pretzels. Let's break it down step-by-step:

1. Determine the Total Need for Drinks and Snacks:
- Sparkling Water: Kiran plans to serve 12 ounces of sparkling water per person.
- Pretzels: The problem states "ounces of pretzels per person," but doesn't give the exact number (let's assume it's 3 ounces per person based on the context).

2. Calculate the Total Amount Needed:
- For 10 people:
- Sparkling water: [tex]\(12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces}\)[/tex]
- Pretzels: [tex]\(3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces}\)[/tex]

3. Determine How Many Packages/Bottles Are Required:
- Sparkling Water:
- Each bottle contains 22 ounces.
- To cover 120 ounces, divide: [tex]\(120 \text{ ounces} \div 22 \text{ ounces/bottle} ≈ 5.45\)[/tex]. So, Kiran would need to buy 6 bottles (since you can't buy a fraction of a bottle).

- Pretzels:
- Each package contains 16 ounces.
- To cover 30 ounces, divide: [tex]\(30 \text{ ounces} \div 16 \text{ ounces/package} ≈ 1.875\)[/tex]. So, Kiran would need to buy 2 packages.

4. Calculate the Total Cost:
- Cost for Sparkling Water:
- 6 bottles, each costing [tex]$1.50: \(6 \times \$[/tex]1.50 = \[tex]$9.00\)

- Cost for Pretzels:
- 2 packages, each costing $[/tex]2.99: [tex]\(2 \times \$2.99 = \$5.98\)[/tex]

- Total Budget:
- [tex]\(\$9.00 + \$5.98 = \$14.98\)[/tex]

5. Identify the Corresponding Equation Option:
- The correct equation that represents this calculation is, therefore, related to option C:
- [tex]\(1.50 \times 6 + 2.99 \times 2 = b\)[/tex]

This matches the provided cost calculation of $14.98, which aligns with the proper selection in the options given. Therefore, the equation representing Kiran's budget is aligned with option D: [tex]\(1.50 \cdot 6 + 2.99 \cdot 2 = b\)[/tex].

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