How do you do this problem about theatre seating?
A theatre contains 500 seats and the ticket prices for a recent play were $43 for adults and $28 for children. If the total proceeds for one matinee were $16,805, how many of each ticket were sold?
is it like 500 = 43x + 28(43-x) or something??
- Bail OutLv 68 years agoFavorite Answer
43x + 28(500-x) = 16805
43x + 14000 - 28x = 16805
15x = 2805
x = 2805/15 = 187adults.
- 8 years ago
16,805 = total proceeds
16,805 = 43x + 28y
I stand corrected, guy above me is right; assuming that all seats sold:
16,805 = 43x + 28(500 - x) would be the correct answer.
this is because x is the number who of adults who bought a ticket so 500-x would be the children.Source(s): me
- Mike GLv 78 years ago
A = Adult number
C = Child number
43A+28C = 16,805
If we assume the theatre was full A+C = 500
C = 500-A
43A+28(500-A) = 16,805
A = 187
C = 313