# need help with math problem

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• Specializes in ICU, PICC Nurse, Nursing Supervisor.

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

3 Posts

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. :)

4,373 Posts

Specializes in ICU, PICC Nurse, Nursing Supervisor.

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. :)

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