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?
If ticket sales were x dollars, then
500 + .10x = 1200
To find the total ticket sales for the show, we can use the information given. We know that the band charges a flat fee of $500.00 and 10% of all profits from ticket sales. We also know that the band earned $1,200.
Let's start by calculating the amount the band earned from the flat fee. The band charges a flat fee of $500.00, so this amount is already included in the $1,200 they earned.
Next, let's calculate the amount the band earned from the 10% of profits. We know that the band earned $1,200 in total, so this amount includes both the flat fee and the 10% of profits. To find the part that corresponds to the 10% of profits, we subtract the flat fee of $500 from the total amount earned: $1,200 - $500 = $700.
Now, we know that the $700 represents 10% of the total profits from ticket sales. To find the total ticket sales, we need to determine what 100% would be. We can do this by dividing $700 by 10, and then multiplying the result by 100: ($700 / 10) * 100 = $7,000.
Therefore, the total ticket sales for the show were $7,000.