The cost (c) to rent the convention hall is $500 plus $10 for each admission ticket. The company plans on selling tickets(R) to the event for $30 each to make money. Find how many admission tickets need to be sold in order for the convention to break even

Respuesta :

Answer: 25 tickets

Step-by-step explanation:

First, we need to make an equation representing the cost(c)

Let "a" be the number of tickets sold.

C = 500 + 10a; where c is equivalent to the price of the concert.

Next, we have to make an equation for amount they will make.

Let a = amount sold

c has to be equal to or greater than 30a

so, 500 + 10a >= 30a

Isolate the variable, -10a on each side

500 >= 20a

divide. 25 >= a

Therefore, the convention must sell 25 tickets or more to break even.