Addison Sells 100 Tickets For $ 10 \$10 $10 Each For A Raffle. There Is 1 Award For $ 100 \$100 $100 , 4 Awards For $ 50 \$50 $50 , And 10 Awards For $ 30 \$30 $30 . The Remaining Proceeds Go To Hosting The Contest. Which Table Correctly Displays

Mar 11, 2025 by ADMIN 247 views

**Raffle Ticket Sales and Prize Distribution**

Understanding the Problem

Addison sells 100 tickets for $\$10$ each for a raffle. The raffle has a total of 15 prizes, consisting of 1 award for $\$100$ , 4 awards for $\$50$ , and 10 awards for $\$30$ . The remaining proceeds go to hosting the contest. We need to determine which table correctly displays the total revenue generated from the ticket sales and the distribution of the prizes.

Table Options

There are three possible tables that could display the information:

Table 1

Prize	Number of Awards	Total Value
$\$100$	1	$\$100$
$\$50$	4	$\$200$
$\$30$	10	$\$300$
Total		$\$600$

Table 2

Prize	Number of Awards	Total Value
$\$100$	1	$\$100$
$\$50$	4	$\$200$
$\$30$	10	$\$300$
Total		$\$600$
Ticket Sales	100	$\$1000$
Total Revenue		$\$1600$

Table 3

Prize	Number of Awards	Total Value
$\$100$	1	$\$100$
$\$50$	4	$\$200$
$\$30$	10	$\$300$
Total		$\$600$
Ticket Sales	100	$\$1000$
Hosting Costs		$\$400$
Total Revenue		$\$1600$

Analyzing the Tables

Let's analyze each table to determine which one correctly displays the total revenue generated from the ticket sales and the distribution of the prizes.

Table 1

Table 1 only displays the total value of the prizes, which is $\$600$ . However, it does not account for the ticket sales revenue, which is $\$1000$ . Therefore, Table 1 is incomplete and does not accurately represent the total revenue.

Table 2

Table 2 displays the total value of the prizes, which is $\$600$ , as well as the ticket sales revenue, which is $\$1000$ . The total revenue is calculated by adding the total value of the prizes and the ticket sales revenue, resulting in $\$1600$ . This table accurately represents the total revenue.

Table 3

Table 3 displays the total value of the prizes, which is $\$600$ , as well as the ticket sales revenue, which is $\$1000$ . However, it also includes hosting costs, which are not relevant to the total revenue. The hosting costs are subtracted from the total revenue, resulting in $\$1600$ . This table is similar to Table 2, but it includes unnecessary information.

Conclusion

Based on the analysis, Table 2 is the correct table that displays the total revenue generated from the ticket sales and the distribution of the prizes. It accurately represents the total revenue by adding the total value of the prizes and the ticket sales revenue.

Mathematical Representation

Let's represent the problem mathematically to verify the result.

The total revenue from ticket sales is:

$\$10 \times 100 = \$1000$

The total value of the prizes is:

$\$100 \times 1 + \$50 \times 4 + \$30 \times 10 = \$100 + \$200 + \$300 = \$600$

The total revenue is the sum of the total value of the prizes and the ticket sales revenue:

$\$600 + \$1000 = \$1600$

Understanding the Problem

Q&A

Q: What is the total revenue generated from the ticket sales?

A: The total revenue from ticket sales is $\$1000$ , which is calculated by multiplying the ticket price ( $\$10$ ) by the number of tickets sold (100).

Q: What is the total value of the prizes?

A: The total value of the prizes is $\$600$ , which is calculated by adding the value of each prize: $\$100$ + $\$200$ + $\$300$ .

Q: Which table correctly displays the total revenue generated from the ticket sales and the distribution of the prizes?

A: Table 2 is the correct table that displays the total revenue generated from the ticket sales and the distribution of the prizes.

Q: Why is Table 1 incomplete?

A: Table 1 is incomplete because it only displays the total value of the prizes, which is $\$600$ , but it does not account for the ticket sales revenue, which is $\$1000$ .

Q: Why is Table 3 unnecessary?

A: Table 3 is unnecessary because it includes hosting costs, which are not relevant to the total revenue. The hosting costs are subtracted from the total revenue, resulting in the same total revenue as Table 2.

Q: How is the total revenue calculated?

A: The total revenue is calculated by adding the total value of the prizes and the ticket sales revenue. In this case, the total revenue is $\$600$ + $\$1000$ = $\$1600$ .

Q: What is the mathematical representation of the problem?

A: The mathematical representation of the problem is:

$\$10 \times 100 = \$1000$ (total revenue from ticket sales)

$\$100 \times 1 + \$50 \times 4 + \$30 \times 10 = \$100 + \$200 + \$300 = \$600$ (total value of the prizes)

$\$600 + \$1000 = \$1600$ (total revenue)

Conclusion

In this Q&A article, we have discussed the problem of Addison selling 100 tickets for $\$10$ each for a raffle and the distribution of the prizes. We have determined that Table 2 is the correct table that displays the total revenue generated from the ticket sales and the distribution of the prizes. We have also provided mathematical representation of the problem to verify the result.

Frequently Asked Questions

Q: What is the total revenue generated from the ticket sales?

A: The total revenue from ticket sales is $\$1000$ .

Q: What is the total value of the prizes?

A: The total value of the prizes is $\$600$ .

Q: Which table correctly displays the total revenue generated from the ticket sales and the distribution of the prizes?

A: Table 2 is the correct table that displays the total revenue generated from the ticket sales and the distribution of the prizes.

Q: How is the total revenue calculated?

A: The total revenue is calculated by adding the total value of the prizes and the ticket sales revenue.

Additional Resources

For more information on raffle ticket sales and prize distribution, please refer to the following resources: