Q:

A theater sells tickets for a concert. Tickets for lower-level seats cost $35 each. Tickets for upper-level seats cost $25 each. The theater sells 350 tickets for $10,250. How many types of each ticket were sold?

Accepted Solution

A:
Answer:The Answer is: Lower Level seats = 150. Upper level seats = 200.Step-by-step explanation:Start with two known equations:1 - the number of Lower Level times 35 + the number of Upper level times 25 = the total dollar amount of $10,250.35L + 25u = 10250The number of both types of tickets = 350L + u = 350Solve for u:u = 350 - LSubstitute and solve for L, Lower level seats:35L + 25(350 - L) = 1025035L + 8750 - 25L = 1025010L + 8750 = 1025010L = 1500L = 150There are 150 Lower Level seats.u = 350 - LSubtract to get the number of upper level seats:u = 200Proof:35(150) + 25(200) = $5,250 + $5,000 = $10,250