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 = 10250
The number of both types of tickets = 350
L + u = 350
Solve for u:
u = 350 - L
Substitute and solve for L, Lower level seats:
35L + 25(350 - L) = 10250
35L + 8750 - 25L = 10250
10L + 8750 = 10250
10L = 1500
L = 150
There are 150 Lower Level seats.
u = 350 - L
Subtract to get the number of upper level seats:
u = 200
Proof:
35(150) + 25(200) =
$5,250 + $5,000 = $10,250
Answer: number of lower-level seat tickets =150
number of upper-level seat tickets =200
Step-by-step explanation:
Let number of lower-level seat tickets be x
Let number of upper-level seat tickets be y
Total number of tickets sold by the theatre = 350
x +y = 350 - - - - - 1
Tickets for lower-level seats cost $35 each.
Tickets for upper-level seats cost $25
Cost of x low-level seat tickets = 35x
Cost of upper-level seat tickets = 25y
Total cost of seat tickets =Lower- level seat tickets + upper-level seat tickets
35x + 25y =10250 - - - - - -2
From equation 1
x = 350 -y
Put x = 350 -y in equation 2
35(350-y) + 25y =10250
12250-35y + 25y = 10250
-10y = 10250 -12250 = -2000
y = 2000/10 = 200
x = 350-y = 350-200= 150
