Answer :
To find out which equation best represents Kiran's budget for serving sparkling water and pretzels, let's break down the situation step by step:
1. Determine Total Ounces Needed:
- There are 10 people in total, including Kiran's family.
- Each person drinks 12 ounces of sparkling water, so for 10 people, the total ounces of sparkling water needed is [tex]\(10 \times 12 = 120\)[/tex] ounces.
- Each person eats 3 ounces of pretzels, so for 10 people, the total ounces of pretzels needed is [tex]\(10 \times 3 = 30\)[/tex] ounces.
2. Calculate Cost of Sparkling Water:
- A bottle of sparkling water contains 22 ounces and costs [tex]$1.50.
- Therefore, the cost per ounce of sparkling water is \(\frac{1.50}{22}\) dollars.
- To find the total cost of 120 ounces of sparkling water, multiply the cost per ounce by 120: \(\frac{1.50}{22} \times 120 = 8.181818181818182\) dollars.
3. Calculate Cost of Pretzels:
- A package of pretzels contains 16 ounces and costs $[/tex]2.99.
- Therefore, the cost per ounce of pretzels is [tex]\(\frac{2.99}{16}\)[/tex] dollars.
- To find the total cost of 30 ounces of pretzels, multiply the cost per ounce by 30: [tex]\(\frac{2.99}{16} \times 30 = 5.60625\)[/tex] dollars.
4. Total Budget:
- Add the costs of the sparkling water and pretzels to get the total budget: [tex]\(8.181818181818182 + 5.60625 = 13.788068181818183\)[/tex] dollars.
Now, let's look at the answer choices:
- Option a: Incorrect, as it doesn't relate to the cost.
- Option b: Incorrect, as it doesn't consider the cost per unit.
- Option c: Incorrect, as the variables are misplaced in context.
- Option d: Correct. It represents [tex]\(1.50 \times 6 + 2.99 \times 2 = 13.788068181818183\)[/tex], which matches the total budget required, calculated by using the quantities and costs of the products.
Therefore, the correct equation that represents Kiran's budget is option d.
1. Determine Total Ounces Needed:
- There are 10 people in total, including Kiran's family.
- Each person drinks 12 ounces of sparkling water, so for 10 people, the total ounces of sparkling water needed is [tex]\(10 \times 12 = 120\)[/tex] ounces.
- Each person eats 3 ounces of pretzels, so for 10 people, the total ounces of pretzels needed is [tex]\(10 \times 3 = 30\)[/tex] ounces.
2. Calculate Cost of Sparkling Water:
- A bottle of sparkling water contains 22 ounces and costs [tex]$1.50.
- Therefore, the cost per ounce of sparkling water is \(\frac{1.50}{22}\) dollars.
- To find the total cost of 120 ounces of sparkling water, multiply the cost per ounce by 120: \(\frac{1.50}{22} \times 120 = 8.181818181818182\) dollars.
3. Calculate Cost of Pretzels:
- A package of pretzels contains 16 ounces and costs $[/tex]2.99.
- Therefore, the cost per ounce of pretzels is [tex]\(\frac{2.99}{16}\)[/tex] dollars.
- To find the total cost of 30 ounces of pretzels, multiply the cost per ounce by 30: [tex]\(\frac{2.99}{16} \times 30 = 5.60625\)[/tex] dollars.
4. Total Budget:
- Add the costs of the sparkling water and pretzels to get the total budget: [tex]\(8.181818181818182 + 5.60625 = 13.788068181818183\)[/tex] dollars.
Now, let's look at the answer choices:
- Option a: Incorrect, as it doesn't relate to the cost.
- Option b: Incorrect, as it doesn't consider the cost per unit.
- Option c: Incorrect, as the variables are misplaced in context.
- Option d: Correct. It represents [tex]\(1.50 \times 6 + 2.99 \times 2 = 13.788068181818183\)[/tex], which matches the total budget required, calculated by using the quantities and costs of the products.
Therefore, the correct equation that represents Kiran's budget is option d.
