HEELPP!! The country fair charges $7.00 for adults and $2.00 for children. If $6,000 dollars were collected in one day and there were a total of 2,000 patrons, how many adults and children attended?

Question

anonymous · Answer

400 adults, 1600 children.

anonymous · Answer

What are the steps to get that answer though?

anonymous · Answer

let # of adults attended = x and # of children attended = y
7x + 2y = 6000
x+y = 2000

7x + 2y=6000
-2x - 2y=-4000 (times the equation by -2)
5x=2000
x=400 (# of adults attended)

x+y  = 2000
y=2000-400
y=1600 (#of children attended)