Astadium has 45,000 seats. seats sell for $30 in section a, $24 in section b, and $18 in section c. the number of seats in section a equals the total number of seats in sections b and c. suppose the stadium takes in $1,168,800 from each sold-out event. how many seats does each section hold?

A + b + c = 45,000
30a + 24b + 18c = 1,168,800 reduces to 5a + 4b + 3c = 194,800
a = b + c

b + c + b + c = 45,000
2b + 2c = 45,000
b + c = 22500 <=== this is A
c = 22500 - b

5a + 4b + 3c = 194,800
5(22500) + 4b + 3(22500 - b) = 194,800
112500 + 4b + 67500 - 3b = 194,800
b + 180,000 = 194,800
b = 194,800 - 180,000
b = 14,800 <===here is b

a = b + c
22500 = 14800 + c
22500 - 14800 = c
7700 = c <== here is c

soA = 22,500, B = 14,800, and C = 7,700