Question

A theater rents their space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets that must be sold in order to make a profit?

Answer 1

Company needs to sell at least 34 tickets in order to make a profit.

Explanation:

Given:

Rent for the space = $300

Cost per tickets = $9

Let the number of tickets sold be 'x'

We need to find the least number of tickets to be sold to make profit

Now total profit can be made if amount which is made after selling number of tickets is greater than 300.

Hence the equation can be framed as,

`9x\geq300`

Solving the equation to find the value of x we get;

We will use Division property and divide both side by 9 we get;

`(9x)/(9)\geq(300)/(9)\\\\x\geq33.33`

Tickets which need to be sell cannot be in point value hence rounding to whole number we get;

`x\geq34`

Hence Company needs to sell at least 34 tickets in order to make a profit.