Answer:
62 people must compete to break even.
Step-by-step explanation:
The money paid for the facility is $2480. $14 is paid for each participant and each person that participate in the competition is charged $54.
In order to break even(profit is same as cost), the amount of money spent(cost) must be equal to the money gotten(revenue).
Let us assume that x number of people participated, therefore $14x would be spent for x number of people. The total cost would the be $(14x + 2480)
Also the money to be charged for x people would be $54x.
At break even, total cost = total money gained(revenue)
⇒ 2480 + 14x = 54x
2480 + 14x - 14x = 54x - 14x
∴ 30x = 2480
40x/40 = 2480/40
x = 62
Therefore 62 people must compete to break even.
