# word problem: Theatre sold 900 tickets; floor seats were $12 #### Susan Wall ##### New member The problem is as follows: A community Theater sold 900 tickets to a play. Floor seats cost$12 each and balcony seats cost $10 each. The total receipts were$9780. How many of each type of ticket were sold?

I have tried: 12x + 10X=9780
900/12=75 900/10=90

#### Mrspi

##### Senior Member
Re: word problem

Susan Wall said:
The problem is as follows: A community Theater sold 900 tickets to a play. Floor seats cost $12 each and balcony seats cost$10 each. The total receipts were $9780. How many of each type of ticket were sold? I have tried: 12x + 10X=9780 900/12=75 900/10=90 I'm not sure where to start with this. Help me please. What does "x" represent in what you tried? And are "x" and "X" the same? It is a VERY GOOD THING to tell what each variable represents. I might do this: Let b = number of balcony tickets Let f = number of floor tickets We know that 900 tickets were sold in all, so b + f = 900 Floor tickets sold for$12 each. So, "f" floor tickets would bring in 12f dollars.

Balcony tickets sold for $10 each, and "b" balcony tickets would bring in 10b dollars. We know that the total received for all of the ticket sales was$9780. So,
12f + 10b = 9780

Ok..

You have two equations:

b + f = 900
12f + 10b = 9780

Can you take it from here?