You are planning the concessions for a local basketball game. Your team needs to calculate how much food to purchase based on attendance and estimated consumption.

Question

Scenario:
The school expects 500 people at the game.
On average, each person buys 2 snacks and 1 drink.
Snacks cost $1.50 each, and drinks cost $2.00 each.
You plan to buy snacks and drinks in bulk, with snacks sold in boxes of 10 and drinks in boxes of 12.
If you sell each snack for $2 and each drink for $3, how much profit will your team make from selling all the snacks and drinks?

Answer 1

To calculate the profit from selling snacks and drinks at the basketball game, we first need to determine the total number of snacks and drinks required based on the expected attendance.

Step 1: Calculate Total Snacks and Drinks Sold

• Attendance: 500 people
• Average Snacks per Person: 2
• Average Drinks per Person: 1

Total Snacks: \[ \text{Total Snacks} = \text{Attendance} \times \text{Average Snacks per Person} = 500 \times 2 = 1000 \text{ snacks} \]

Total Drinks: \[ \text{Total Drinks} = \text{Attendance} \times \text{Average Drinks per Person} = 500 \times 1 = 500 \text{ drinks} \]

Step 2: Calculate Total Cost of Snacks and Drinks

Cost of Snacks:

• Cost per Snack: $1.50
• Total Cost for Snacks: \[ \text{Total Cost for Snacks} = 1000 \text{ snacks} \times 1.50 = 1500 \text{ dollars} \]

Cost of Drinks:

• Cost per Drink: $2.00
• Total Cost for Drinks: \[ \text{Total Cost for Drinks} = 500 \text{ drinks} \times 2.00 = 1000 \text{ dollars} \]

Total Cost: \[ \text{Total Cost} = \text{Total Cost for Snacks} + \text{Total Cost for Drinks} = 1500 + 1000 = 2500 \text{ dollars} \]

Step 3: Calculate Total Revenue from Sales

Selling Price of Snacks:

• Selling Price per Snack: $2.00
• Total Revenue from Snacks: \[ \text{Total Revenue from Snacks} = 1000 \text{ snacks} \times 2 = 2000 \text{ dollars} \]

Selling Price of Drinks:

• Selling Price per Drink: $3.00
• Total Revenue from Drinks: \[ \text{Total Revenue from Drinks} = 500 \text{ drinks} \times 3 = 1500 \text{ dollars} \]

Total Revenue: \[ \text{Total Revenue} = \text{Total Revenue from Snacks} + \text{Total Revenue from Drinks} = 2000 + 1500 = 3500 \text{ dollars} \]

Step 4: Calculate Profit

Profit: \[ \text{Profit} = \text{Total Revenue} - \text{Total Cost} = 3500 - 2500 = 1000 \text{ dollars} \]

Conclusion

Your team will make a profit of $1000 from selling all the snacks and drinks at the basketball game.