An organization is planning a dance. The band will cost $400 and advertising costs will be $100. Food will be supplied at $2 per person and tickets cost $6 per person.
How many people will have to attend the dance if the organization want to profit $400?
profit = 6n - 2n - 400 - 100
= 4n + 600 , where n is the number of people
4n - 500 = 400
4n = 900
n = 225
need 225 people to make $400
To calculate the number of people that need to attend the dance in order to make a profit of $400, we need to consider the total expenses and subtract them from the total revenue.
First, let's calculate the expenses:
The band costs $400.
Advertising costs $100.
The total expense is therefore $400 + $100 = $500.
Now let's calculate the revenue per person:
Tickets cost $6 per person.
Food costs $2 per person.
So the revenue per person is $6 + $2 = $8.
To calculate the number of people needed to attend the dance, divide the total expenses by the revenue per person:
$500 / $8 = 62.5.
Since it's not possible to have a fraction of a person, we can't have 0.5 of a person attending. Therefore, the organization will need at least 63 people to attend the dance in order to make a profit of $400.