Final answer:
To calculate the ticket cost for the silent auction, add the total cost of the prizes and food ($800), and divide by the number of tickets (50), resulting in $16 per ticket. The closest given option above $16 is $20 (option A), ensuring coverage of all costs.
Step-by-step explanation:
To find the ticket cost that will cover the expenses of the prizes and food for the soccer team's silent auction, we need to calculate the total cost of the items and the dinner, then divide that amount by the number of tickets they plan to sell.
- Cost of the tablet: $280
- Cost of soccer tickets: $100
- Cost of a gift card: $20
- Cost of the food: $400
Adding up these costs, we get a total of:
$280 (tablet) + $100 (soccer tickets) + $20 (gift card) + $400 (food) = $800 total cost
The team plans to sell 50 tickets to cover this cost. So, to find the cost per ticket, we divide the total cost by the number of tickets:
$800 ÷ 50 tickets = $16 per ticket
However, the options given for the ticket prices do not include $16. The closest ticket cost that is higher than $16 and will cover the cost of the prizes and food is $20 (option A). Choosing a ticket price that is higher ensures that all costs are covered and perhaps contributes extra to the team's funds.