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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 LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?

Answer :

Kiran's budget is determined by calculating the total ounces of sparkling water and pretzels required for 10 people and then determining the number of bottles and packages needed. The overall budget is the sum of the cost of all bottles of sparkling water and all packages of pretzels.

To determine Kiran's budget for purchasing sparkling water and pretzels for the football game gathering, we need to calculate the total amount required for each item and then find the total cost. Since we have 10 people and each requires 12 ounces of sparkling water and 3 ounces of pretzels, we can calculate the total amount required for these items.

First, for the sparkling water: total ounces of sparkling water (s) = 12 ounces/person* 10 people = 120 ounces.

Then for the pretzels: total ounces of pretzels (p) = 3 ounces/person* 10 people = 30 ounces.

To find out the number of bottles of sparkling water needed, we divide the total ounces required by the ounces in one bottle: Number of bottles = 120 ounces / 22 ounces per bottle. It is important to remember that if this division does not result in an exact whole number, Kiran will have to round up to the next whole number because you cannot purchase a fraction of a bottle.

Similarly, to find out the number of packages of pretzels needed, divide the total ounces of pretzels by the ounces in one package: Number of packages = 30 ounces / 16 ounces per package, rounding up again if necessary.

Now to calculate the budget (b): The cost of all sparkling water plus the cost of all pretzels. If we denote the number of bottles of water as w and the number of packages of pretzels as t, then the equation for the budget would be: b = (w * $1.50) + (t * $2.99).

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