Question

A charity 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

Answer 1

The ans is option number D

Answer 2

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.