<PRE><B>Question 326897</B>
To solve this problem, you are going to write two equations using what you know.
First, you know that the total number of tickets sold is 1500:
C + U = 1500 (where C = number of tickets for covered seats, U = number of tickets for uncovered seats)
This can be rewritten as C = 1500 - U
Second, you know that a covered seat ticket is $25 and an uncovered seat ticket is $15 and the total cost of the tickets is $28,500:
25(C) + 15(U) = 28500
Now plug in the rewritten first equation into the second equation and solve for U:
25(C) + 15(U) = 28500
25(1500 - U) + 15(U) = 28500
37500 - 25(U) + 15(U) = 28500
37500 - 10(U) = 28500
-10(U) = -9000
U = 900
So 900 tickets for uncovered seats were sold.
Now plug this into the first equation to find C:
C + U = 1500
C + 900 = 1500
C = 600
So 600 tickets for covered seats were sold.</PRE>