Answer :
To solve this problem, let's break it down step by step.
First, we need to find out how many total ounces of sparkling water and pretzels Kiran needs to prepare for the gathering:
1. Gathering Information:
- There are 10 people at the gathering.
- Each person will consume 12 ounces of sparkling water and 3 ounces of pretzels.
2. Total Ounces Required:
- For sparkling water: [tex]\(12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces}\)[/tex]
- For pretzels: [tex]\(3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces}\)[/tex]
Next, we determine how many bottles of sparkling water and packages of pretzels are needed:
3. Bottles and Packages:
- A bottle of sparkling water contains 22 ounces.
- A package of pretzels contains 16 ounces.
- Calculate the number of bottles needed: [tex]\( \frac{120 \text{ ounces}}{22 \text{ ounces/bottle}} \approx 5.45 \)[/tex]
- Calculate the number of packages needed: [tex]\( \frac{30 \text{ ounces}}{16 \text{ ounces/package}} = 1.875 \)[/tex]
Finally, we will calculate the total cost or budget:
4. Cost Calculation:
- Each bottle of sparkling water costs [tex]$1.50.
- Each package of pretzels costs $[/tex]2.99.
- Total cost for sparkling water: [tex]\(5.45 \text{ bottles} \times \$1.50/\text{bottle} \approx \$8.18\)[/tex]
- Total cost for pretzels: [tex]\(1.875 \text{ packages} \times \$2.99/\text{package} \approx \$5.61\)[/tex]
5. Total Budget:
- Add the costs together: [tex]\(\$8.18 + \$5.61 = \$13.79\)[/tex]
Now, we determine which equation best represents the budget calculation:
- The correct answer accounts for the cost of the bottles and packages:
- Option D: [tex]\(1.50 \times 6 + 2.99 \times 2 = b\)[/tex]
- Even though this is the closest to the operation needed, it rounds numbers up to whole packages and bottles, showing a budget-related equation closest to trying this numerical answer.
The closest answer that represents this scenario in the problem choices, considering all factors, is most adequately described by option D.
First, we need to find out how many total ounces of sparkling water and pretzels Kiran needs to prepare for the gathering:
1. Gathering Information:
- There are 10 people at the gathering.
- Each person will consume 12 ounces of sparkling water and 3 ounces of pretzels.
2. Total Ounces Required:
- For sparkling water: [tex]\(12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces}\)[/tex]
- For pretzels: [tex]\(3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces}\)[/tex]
Next, we determine how many bottles of sparkling water and packages of pretzels are needed:
3. Bottles and Packages:
- A bottle of sparkling water contains 22 ounces.
- A package of pretzels contains 16 ounces.
- Calculate the number of bottles needed: [tex]\( \frac{120 \text{ ounces}}{22 \text{ ounces/bottle}} \approx 5.45 \)[/tex]
- Calculate the number of packages needed: [tex]\( \frac{30 \text{ ounces}}{16 \text{ ounces/package}} = 1.875 \)[/tex]
Finally, we will calculate the total cost or budget:
4. Cost Calculation:
- Each bottle of sparkling water costs [tex]$1.50.
- Each package of pretzels costs $[/tex]2.99.
- Total cost for sparkling water: [tex]\(5.45 \text{ bottles} \times \$1.50/\text{bottle} \approx \$8.18\)[/tex]
- Total cost for pretzels: [tex]\(1.875 \text{ packages} \times \$2.99/\text{package} \approx \$5.61\)[/tex]
5. Total Budget:
- Add the costs together: [tex]\(\$8.18 + \$5.61 = \$13.79\)[/tex]
Now, we determine which equation best represents the budget calculation:
- The correct answer accounts for the cost of the bottles and packages:
- Option D: [tex]\(1.50 \times 6 + 2.99 \times 2 = b\)[/tex]
- Even though this is the closest to the operation needed, it rounds numbers up to whole packages and bottles, showing a budget-related equation closest to trying this numerical answer.
The closest answer that represents this scenario in the problem choices, considering all factors, is most adequately described by option D.
