Answer:
650 tickets for the main floor and 475 tickets for the balcony were sold.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=1125 (1)
8x+6y=8050 (2), where:
x is the number of tickets for the main floor
y is the number of tickets for the balcony
First, you can solve for x in (1):
x=1125-y (3)
Second, you can replace (3) in (2):
8(1125-y)+6y=8050
9000-8y+6y=8050
9000-2y=8050
9000-8050=2y
950=2y
y=950/2
y=475
Third, you can replace the value of y in (3) to find x:
x=1125-y
x=1125-475
x=650
According to this, the answer is that 650 tickets for the main floor and 475 tickets for the balcony were sold.
Answer:
64
Step-by-step explanation:
J------------K------------L
8x+11 14x-1
<span>If K is the midpoint of JL then JK = KL
8x+11 = 14x-1
11 + 1 = 14x - 8x
12 = 6x
x = 12/6
x = 2
JK = 8x + 11 = 8*2 + 11 = 16+11 = 27
KL = JK = 27
JL = JK + KL = 27 + 27 = 54</span>
Solving using the quadratic formula x = +-4
