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Answer :
To solve the problem of determining which equation best represents Kiran's budget for the gathering, we need to calculate the total cost of sparkling water and pretzels needed for the 10 people attending.
Step 1: Calculate the total ounces needed
- Sparkling water: Each person needs 12 ounces. Therefore, for 10 people, the total ounces of sparkling water is [tex]\( 12 \times 10 = 120 \)[/tex] ounces.
- Pretzels: Each person needs 3 ounces. Therefore, for 10 people, the total ounces of pretzels is [tex]\( 3 \times 10 = 30 \)[/tex] ounces.
Step 2: Determine the number of bottles and packages needed
- Sparkling water: Each bottle contains 22 ounces. To find out how many bottles are needed for 120 ounces, divide 120 by 22, which gives approximately 5.45 bottles.
- Pretzels: Each package contains 16 ounces. To find out how many packages are needed for 30 ounces, divide 30 by 16, which gives approximately 1.875 packages.
Step 3: Calculate the total cost
- Cost of sparkling water: Multiply the number of bottles by the cost per bottle. So, [tex]\( 5.45 \times 1.50 = 8.18 \)[/tex] dollars approximately.
- Cost of pretzels: Multiply the number of packages by the cost per package. So, [tex]\( 1.875 \times 2.99 = 5.61 \)[/tex] dollars approximately.
Step 4: Total cost for both items
- Add the costs of sparkling water and pretzels to get the total budget. So, [tex]\( 8.18 + 5.61 = 13.79 \)[/tex] dollars approximately.
Conclusion:
Based on the calculations, to determine Kiran’s budget in terms of dollars, we should look for an equation that reflects converting ounces into cost, where:
- Sparkling water is converted using [tex]\( 1.50 \)[/tex] dollars per 22 ounces, and
- Pretzels are converted using [tex]\( 2.99 \)[/tex] dollars per 16 ounces.
The correct equation that accounts for these costs is not directly visible from the given options because these options seem to convert ounces directly to dollars, not steps. However, the tasks above confirm that the cost computations were done correctly to reach approximately 13.79 dollars.
Step 1: Calculate the total ounces needed
- Sparkling water: Each person needs 12 ounces. Therefore, for 10 people, the total ounces of sparkling water is [tex]\( 12 \times 10 = 120 \)[/tex] ounces.
- Pretzels: Each person needs 3 ounces. Therefore, for 10 people, the total ounces of pretzels is [tex]\( 3 \times 10 = 30 \)[/tex] ounces.
Step 2: Determine the number of bottles and packages needed
- Sparkling water: Each bottle contains 22 ounces. To find out how many bottles are needed for 120 ounces, divide 120 by 22, which gives approximately 5.45 bottles.
- Pretzels: Each package contains 16 ounces. To find out how many packages are needed for 30 ounces, divide 30 by 16, which gives approximately 1.875 packages.
Step 3: Calculate the total cost
- Cost of sparkling water: Multiply the number of bottles by the cost per bottle. So, [tex]\( 5.45 \times 1.50 = 8.18 \)[/tex] dollars approximately.
- Cost of pretzels: Multiply the number of packages by the cost per package. So, [tex]\( 1.875 \times 2.99 = 5.61 \)[/tex] dollars approximately.
Step 4: Total cost for both items
- Add the costs of sparkling water and pretzels to get the total budget. So, [tex]\( 8.18 + 5.61 = 13.79 \)[/tex] dollars approximately.
Conclusion:
Based on the calculations, to determine Kiran’s budget in terms of dollars, we should look for an equation that reflects converting ounces into cost, where:
- Sparkling water is converted using [tex]\( 1.50 \)[/tex] dollars per 22 ounces, and
- Pretzels are converted using [tex]\( 2.99 \)[/tex] dollars per 16 ounces.
The correct equation that accounts for these costs is not directly visible from the given options because these options seem to convert ounces directly to dollars, not steps. However, the tasks above confirm that the cost computations were done correctly to reach approximately 13.79 dollars.
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