Question 1204516: The school drama club wants to organize an event at the local community theatre. However, it will cost $325 to rent out the theatre for the night, plus it costs $35
per seat. If they sell every seat, then each person will pay a total of $40
, which includes the rental costs and their seat. Write and solve an equation to determine the answer to the following question: How many seats are in the theatre?
A)40 seats
B)55 seats
C)65 seats
D)80 seats
Found 3 solutions by mananth, greenestamps, josgarithmetic:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
The school drama club wants to organize an event at the local community theatre. However, it will cost $325 to rent out the theatre for the night, plus it costs $35
per seat. If they sell every seat, then each person will pay a total of $40
, which includes the rental costs and their seat. Write and solve an equation to determine the answer to the following question: How many seats are in the theatre?
$325 to rent out the theatre for the night, plus it costs $35
let number of seats be x
Cost = 35x+325
Tickets sold at $40
Money collected = 40 *x
40x = 35x+325
40x-35x = 325
5x =325
x= 65
65 seats
Answer by greenestamps(13215)  (Show Source):
You can put this solution on YOUR website!
Formally....
Let x be the number of seats.
The total cost for renting the theater is $325 plus $35 for each seat: 325+35x.
The money collected is $40 per seat: 40x.
If all seats are sold, the cost of renting the theater will be covered:
325+35x = 40x
325 = 5x
x = 325/5 = 65
ANSWER: 65 seats
You can get good mental exercise solving the problem informally, using virtually the same calculations.
Each seat costs $35, and each person pays $40 for a seat. That means each person pays $5 more than the cost of the seat.
Selling all the seats means that extra $5 per seat covers the $325 cost of renting the theater, so the number of seats is $325/$5 = 65.
Answer by josgarithmetic(39630)  (Show Source):
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