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Math

Math Snap

PROBLEM

A football club published on its website the number of entrance tickets sold in 2018 and in 2019.
30.
\begin{tabular}{|c|c|c|c|c|c|} \hline & \multicolumn{3}{|l|}{Average number of tickets sold at the entrance door per game} & \multicolumn{2}{|l|}{Seasonal tickets} \\ \hline & Male & Female & Child & Male & Female \\ \hline 2018 & 4521 & 1254 & 759 & 1122 & 780 \\ \hline 2019 & 4668 & 1102 & 884 & 1088 & 794 \\ \hline \end{tabular}
\begin{tabular}{|c|c|c|c|c|c|} \hline & \multicolumn{3}{|l|}{Ticket revenue from selling them at the entrance door per game ($)} & \multicolumn{2}{|l|}{Seasonal ticket revenue ($)} \\ \hline & Male & Female & Child & Male & Female \\ \hline 2018 & 72336 & 16552.8 & 4402.2 & 78540 & 47970 \\ \hline 2019 & 79822.8 & 15428 & 4420 & 80512 & 47640 \\ \hline \end{tabular}
What is the average revenue ticket from selling them at the entrance door per game in 2019?

STEP 1

What is this asking?
What's the average amount of money made from each ticket sold at the door during 2019 games?
Watch out!
Don't accidentally use 2018 data, or include season ticket info!
We only care about the door sales in 2019.

STEP 2

1. Calculate total 2019 door ticket revenue.
2. Calculate total 2019 door tickets sold.
3. Calculate average 2019 door ticket revenue.

STEP 3

We need the total revenue from all ticket types sold at the door in 2019.
Let's add the individual revenues for men, women, and children!

STEP 4

Total 2019 Door Revenue=$79822.8+$15428+$4420 \text{Total 2019 Door Revenue} = \$79822.8 + \$15428 + \$4420

STEP 5

Total 2019 Door Revenue=$99670.8 \text{Total 2019 Door Revenue} = \$99670.8

STEP 6

Now, let's find the total number of tickets sold at the door in 2019.
We'll add up the number of male, female, and child tickets.

STEP 7

Total 2019 Door Tickets=4668+1102+884 \text{Total 2019 Door Tickets} = 4668 + 1102 + 884

STEP 8

Total 2019 Door Tickets=6654 \text{Total 2019 Door Tickets} = 6654

STEP 9

Alright, we've got the total revenue and the total number of tickets.
To find the average revenue per ticket, we'll divide the total revenue by the total number of tickets.
This tells us how much money was made, on average, for each ticket sold.

STEP 10

Average 2019 Door Ticket Revenue=Total 2019 Door RevenueTotal 2019 Door Tickets \text{Average 2019 Door Ticket Revenue} = \frac{\text{Total 2019 Door Revenue}}{\text{Total 2019 Door Tickets}}

STEP 11

Average 2019 Door Ticket Revenue=$99670.86654 \text{Average 2019 Door Ticket Revenue} = \frac{\$99670.8}{6654}

STEP 12

Average 2019 Door Ticket Revenue$14.98 \text{Average 2019 Door Ticket Revenue} \approx \$14.98

SOLUTION

The average revenue per ticket sold at the entrance door per game in 2019 is approximately $14.98\$14.98.

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