Acharity fair raised $6,000 by selling 500 lottery tickets. there were two types of lottery tickets: a tickets cost $10 each, and b tickets cost $60 each. how many tickets of each type were sold? a.5, 185 b.370, 230 c.410, 90 d.480, 20 e.250, 250

For this question you need to form two equation and do simultaneous equation.
first you need to let A tickets to be x and B tickets to be y.
the first equation is 10x+60y=6000
the second equation is x+y=500
use one of the equation and make the one expression the subject. so i choose equation two.
x+y=500
x=500-y (equation 3)
sub equation 3 into equation 1,

10x+60y=6000
10(500-y)+60y=6000
5000-10y+60y=6000
50y=1000
y=20 tickets

sub y=20 into equation 3,
x=500-20
x=480 tickets
therefore,
A tickets= 480 tickets
B tickets =20 tickets

therefore the answer is D.