Question

The local theater has 3 types of seats for Broadway plays: main floor, balcony and mezzanine. Main floor tickets are $37, balcony tickets are $31 and mezzanine are $27. One night sales are $56,591. There were 99 more main floor tickets sold than balcony and mezzanine combined. The # of balcony tickets sold is 400 more than 3 times the # of mezzanine tickets sold. How many of each type of tickets were sold?

Answer 1

Let x = Main floor tickets
y = Balcony tickets
z = Mezzanine tickets

Now
\[x=y+99\]
\[y-400+3z\]
\[37x+31y+27z=56591\]

Solve for x y and z :)

Answer 2

can you help with that?

Answer 3

i just need the answer :/

Answer 4

Okey, lemme work it out

Answer 5

thanks buddyy!

Answer 6

Sorry my first equiation is wrong, its x=y+z+99

Answer 7

x=883
y=688
z=96

Answer 8

help with another?

Answer 9

Find if no solution, only one solution and if so, find the variables, or infinitely many solutions
x-2y+2z=-7
6x-4y-z=-2
7x-6y+z=6