John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $50 and the VIP tickets are $60. If he knows he sold a total of 21 tickets and made $1,050, how many of each type did he sell?

He sold all general admission tickets

Can prove using simultaneous equations

50x + 60y = $1050
x + y = 21 => y = 21-x

50x + 60(21-x) = 1050
50x + 1260 - 60x = 1050
-10x = 1050 - 1260
-10x = -210
x = -210/-10
x = 21

x + y = 21
21 + y = 21
y=0

Since he sold 21 general admission tickets and no VIP tickets

X^2 - 4x +(4/2^2) + y^2 + 8y + (8/2^2) = -4 + (4/2^2) + (8/2^2)(x + 2)^2 + (y + 4)^2 = -4 + 4 + 16your center is (-2, -4) and the radius is the sqrt of -4 + 4 + 16 which is 4