Question 66211
Let x=number sold for $25
Then 3000-x=number sold for $14

Now we are told that the amount brought in by the sale of the $25 tickets (25x) plus the amount brought in by the sale of the $14 tickets (14(3000-x)) was $61,800.  So our equation to solve is:

25x+14(3000-x)=61,800 simplifying we have
25x+42,000-14x=61,800  collecting x's and subtracting 42,000 from each side:

11x=61,800-42,000 and
11x=19,800
x=1800 number of $25 tickets sold

3000-x=3000-1800=1200  number of $14 tickets sold

ck

1800(25)+1200(14)=61,800
45,000+16,800=61,800
61,800=61,800

Hope this helps---ptaylor