need help with math problem

I am having a problem setting this problem up. I just cant figure out the equation.. Could anyone help.l.

Tickets for a play cost $12 for the main floor and $7 in the balcony. If the total receipts from the sale of 500 tickets were $4000 , how many of each type of ticket were sold.

Thanks for any insight ......:bowingpur :bowingpur

[sc62505]

Tickets for a play cost $12 for the main floor and $7 in the balcony. If the total receipts from the sale of 500 tickets were $4000 , how many of each type of ticket were sold?

x = 12 dollar tickets sold

500 - x = 7 dollar tickets sold

12 x + 7 (500 - x) = 4000

12x + 3500 - 7x = 4000

5x =500

x = 100

100 12 dollar tickets

400 7 dollar tickets

I checked it out and I believe it works. :)

[txspadequeenRN, BSN, RN]

I cant thank you enough. These are the right answers, I just couldnt figure the equation to get to those answers. Thank you again...

Tickets for a play cost $12 for the main floor and $7 in the balcony. If the total receipts from the sale of 500 tickets were $4000 , how many of each type of ticket were sold?

x = 12 dollar tickets sold

500 - x = 7 dollar tickets sold

12 x + 7 (500 - x) = 4000

12x + 3500 - 7x = 4000

5x =500

x = 100

100 12 dollar tickets

400 7 dollar tickets

I checked it out and I believe it works. :)