At the local ballpark, the team charges $5.00 for each ticket and expects to make $1,300.00 in concessions. the team must pay in players $1,800.00 and pay all the workers $1,500.00. Each fan gets a free bat, costs the team $3.00 per bat of the following, what is the smallest number of tickets that must be sold to break even???
a. 2,300 tickets
b. 400 tickets
c .250 tickets
d. 1,000 tickets
IS IT D????
I believe it's d ?
Ms . Sue can you help please
To break even: Income = Expense.
5x + 1300 = 3x + 1800 + 1500.
5x - 3x = 1800 + 1500 - 1300.
2x = 2000.
X = 1000 Tickets.
To determine the smallest number of tickets that must be sold to break even, we need to calculate the total expenses and subtract that from the total revenue. The expenses include player salaries, worker salaries, and the cost of bats given to fans.
Given information:
- Ticket price: $5.00 per ticket
- Expected concession revenue: $1,300.00
- Player salaries: $1,800.00
- Worker salaries: $1,500.00
- Cost of bat per fan: $3.00 per bat
Let's calculate the total expenses:
Player salaries + Worker salaries + (Cost of bat per ticket × Number of tickets)
Total expenses = $1,800.00 + $1,500.00 + ($3.00 × Number of tickets)
Now, let's calculate the revenue:
(Ticket price × Number of tickets) + Expected concession revenue
Total revenue = ($5.00 × Number of tickets) + $1,300.00
To break even, the total revenue must be equal to the total expenses:
($5.00 × Number of tickets) + $1,300.00 = $1,800.00 + $1,500.00 + ($3.00 × Number of tickets)
Now, we can solve for Number of tickets:
$5.00 × Number of tickets + $1,300.00 = $1,800.00 + $1,500.00 + $3.00 × Number of tickets
$5.00 × Number of tickets - $3.00 × Number of tickets = $1,800.00 + $1,500.00 - $1,300.00
$2.00 × Number of tickets = $3,000.00
Number of tickets = $3,000.00 / $2.00
Number of tickets = 1,500
Therefore, the smallest number of tickets that must be sold to break even is 1,500.
Option d. 1,000 tickets is incorrect.