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,
- $ b $ represent Kiran’s budget in dollars.

Which equation best represents Kiran’s budget?

To determine the equation that best represents Kiran's budget (b), we need to consider the total ounces of sparkling water (s) and pretzels (p) required for the gathering and the corresponding costs.

First, calculate the total ounces of sparkling water needed:

Total sparkling water ounces = s = n * 12 ounces/person

Since there are 10 people (n = 10), the total sparkling water ounces would be:

Total sparkling water ounces (s) = 10 people * 12 ounces/person = 120 ounces

Next, calculate the total ounces of pretzels needed:

Total pretzel ounces = p = n * 3 ounces/person

Similarly, for 10 people (n = 10), the total pretzel ounces would be:

Total pretzel ounces (p) = 10 people * 3 ounces/person = 30 ounces

Now, determine the number of bottles of sparkling water (w) required:

Number of sparkling water bottles (w) = s / 22 ounces/bottle

Since there are 120 ounces of sparkling water (s) and each bottle contains 22 ounces, we need:

Number of sparkling water bottles (w) = 120 ounces / 22 ounces/bottle = 5.45 bottles

Round up to the nearest whole number to ensure sufficient sparkling water:

Number of sparkling water bottles (w) = 6 bottles

Similarly, calculate the number of pretzel packages (z) required:

Number of pretzel packages (z) = p / 16 ounces/package

For 30 ounces of pretzels (p) and each package containing 16 ounces, we need:

Number of pretzel packages (z) = 30 ounces / 16 ounces/package = 1.875 packages

Round up to the nearest whole number to ensure sufficient pretzels:

Number of pretzel packages (z) = 2 packages

Now, calculate Kiran's total budget (b):

Total budget (b) = cost of sparkling water + cost of pretzels

Cost of sparkling water = 6 bottles * $1.50/bottle = $9.00

Cost of pretzels = 2 packages * $2.99/package = $5.98

Therefore, the total budget (b) would be:

Total budget (b) = $9.00 + $5.98 = $14.98

So, the equation that best represents Kiran's budget (b) is:

b = 14.98

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