math word problem
posted by vince on .
"Adult tickets are $6, Kids are $3. If the total sales are $585, but only 120 tickets were sold, how many adult tickets were sold?
If this was 130 it would be easy: $3+$6 =$9; $585/$9 = 65 tickets. The problem is the question specifies 120 tickets.

adult tickets  x
children tickets  y
x+y = 120
cost equation:
6x + 3y = 585
or after dividing by 3
2x + y = 195
subtract the two equations:
2x+y = 195
x + y = 120

x = 75
then in x+y = 120
75 + y = 120
y = 45
they sold 75 adults, and 45 children tickets
check:
75(6) + 45(3) = 585 , yeahhhh