To determine the total cost for snacks and drinks for the basketball game, we'll follow these steps:
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Calculate Total Snacks and Drinks Needed:
- Estimated attendance: 500 people.
- Average snacks per person: 2 snacks.
- Average drinks per person: 1 drink.
Total Snacks: \[ \text{Total Snacks} = \text{Attendance} \times \text{Snacks per Person} = 500 \times 2 = 1000 \text{ snacks} \]
Total Drinks: \[ \text{Total Drinks} = \text{Attendance} \times \text{Drinks per Person} = 500 \times 1 = 500 \text{ drinks} \]
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Determine Boxes Needed:
- Snacks come in boxes of 10.
- Drinks come in boxes of 12.
Boxes of Snacks: \[ \text{Boxes of Snacks} = \frac{\text{Total Snacks}}{10} = \frac{1000}{10} = 100 \text{ boxes} \]
Boxes of Drinks: \[ \text{Boxes of Drinks} = \frac{\text{Total Drinks}}{12} = \frac{500}{12} \approx 41.67 \] Since you cannot purchase a fraction of a box, you'll need to round up: \[ \text{Boxes of Drinks} = 42 \text{ boxes} \]
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Calculate Total Cost:
- Cost per snack: $1.50
- Cost per drink: $2.00
Total Cost for Snacks: \[ \text{Total Cost for Snacks} = \text{Boxes of Snacks} \times \text{Box Size} \times \text{Cost per Snack} \] \[ = 100 \times 10 \times 1.50 = 1000 \text{ (snacks)} \times 1.50 = 1500 \]
Total Cost for Drinks: \[ \text{Total Cost for Drinks} = \text{Boxes of Drinks} \times \text{Box Size} \times \text{Cost per Drink} \] \[ = 42 \times 12 \times 2.00 = 504 \text{ (drinks)} \times 2.00 = 1008 \]
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Calculate Total Cost for the Event: \[ \text{Total Cost} = \text{Total Cost for Snacks} + \text{Total Cost for Drinks} \] \[ = 1500 + 1008 = 2508 \]
Thus, the total cost for snacks and drinks for the game will be $2508.00.