Question

A concert brought in 28.800$ on the sale of 16.000 tickets.
Two types of tickets were sold: General audience tickets which cost 15$ each and balcony tickets which cost 31$ each.
How many tickets of each type were sold?
You may use the rref calculator function to solve this problem.

Answer 1

is it possible that the concert brought in more money?

Answer 2

I dont know those are the answers
a. 1430 general audience tickets and 170 balcony tickets.
B. 1490 general audience tickets and 110 balcony tickets.
C. 1340general audience tickets and 270 balcony tickets.
D. 1400 general audience tickets and 200 balcony tickets.
E. 1470 general audience tickets and 130 balcony tickets.
F. 1300 general audience tickets and 300 balcony tickets

Answer 3

ah ok, so the number of tickets stated in the problem was off by a factor of 10 ;)

so what we know is that there are two types of tickets, say A and B. The sum of A and B is 1600.
Let's say that ticket A costs $15 and B costs $31. We know that A times $15 plus B times $31 is $28800.

Now we've got two equations with two unknowns \[ A + B = 1600 \\ 15A + 31B = 28800\]
Solve the first one for A, insert it into the second equation, then solve for B and you'll get, that B is 300

Answer 4

thanks a lottttt