Answer:
Ground seats = 450 people
Balcony seats= 132 people
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)
15 b +10 g =6480
The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).
b+g = 582
Multiplying the second equation by 10, and subtracting it to the first equation:
15 b +10 g =6480
-
10b+10g = 5820
__________
5b =660
Solving for b
b = 660/5 = 132
Substituting b=132 in the second equation:
132+g = 582
g= 582-132
g= 450
