Here were 36,000 people at a ballgame in los angeles. the day's receipts from $12 reserved seats and $6 general-admission seats were $258,000 how many of each type of seat were sold?

R + g = 36000r = 36000 - g
12r + 6g = 258,000

12(36000 - g) + 6g = 258000
432000 - 12g + 6g = 258000
-12g + 6g = 258000 - 432000
-6g = -174000
g = 174000/6
g = 29,000 <=== general admission seats sold

r = 36000 - g
r = 36000 - 29000
r = 7,000 <== reserved seats sold

Ithink it is correct but just ask someone else but i am sure it it