Question

Joe hosted a praty 582 people came he charged 15 dollars for balcony seats and 10 dollars for ground seats how many people bout the ground seats and the balcony seats if he raised 6480

Answer 1

Ground seats = 450 people

Balcony seats= 132 people

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