a m group charges $1500 for each performance, plus 20% of the total ticket sales. After a concert, the group received $2,980. How much money did the sales raise?

Question

a m group charges $1500 for each performance, plus 20% of the total ticket sales. After a concert, the group received $2,980. How much money did the sales raise?

I tried everything but i don't know how set the problem up please help..

Answer 1

2980 - 1500 = 1480

0.2x = 1,480

x = 1,480/0.2

x = ?

Answer 2

To set up the problem, we can assign variables to the unknown quantities and write equations based on the given information.

Let's denote the total ticket sales as "x" (in dollars).
According to the information, the group charges $1500 for each performance, plus 20% of the total ticket sales. Hence, the amount they receive from ticket sales is 20% of "x," which can be written as 0.2x.

We know that after a concert, the group received a total of $2,980. To establish an equation, we can add the amount they received from ticket sales to the fixed charge of $1500. This equation can be written as:
0.2x + 1500 = 2980

Now, let's solve this equation to find the value of "x" (total ticket sales):

Subtract 1500 from both sides of the equation:
0.2x = 2980 - 1500
0.2x = 1480

Divide both sides by 0.2:
x = 1480 / 0.2
x = 7400

So, the total ticket sales were $7,400.