A band that will be the opening act for a concert charges a $500.00 flat fee as well as 10% of all profits from ticket sales. If the band earns $1,200, how much was made in total ticket sales for the show?
(earnings - flat fee) / 10%
To find out how much was made in total ticket sales for the show, we need to apply some calculations based on the given information.
We know that the band earned $1,200, and they receive a flat fee of $500. Additionally, they also receive 10% of all profits from ticket sales.
Let's assume the total ticket sales for the concert were x dollars.
The band earned $500 as a flat fee, and we need to subtract that from the total earnings. So, the remaining earnings from ticket sales are $1,200 - $500 = $700.
Now, we know that the band gets 10% of the total ticket sales as well. So, we can set up the following equation:
10% of x = $700
To remove the percentage sign, we divide both sides of the equation by 10:
0.10 * x = $700
Simplifying the equation, we have:
x = $700 / 0.10
By dividing $700 by 0.10, we find that x = $7000.
Therefore, the total ticket sales for the show were $7,000.