Answer:
1400
Step-by-step explanation:
Given: Cost of Regular ticket = $9.50
Cost of Matinee tickets= $7
Total number of people= 5000
Total spending in watching movie= $44000.
Lets assume total number of people attended matinee be "x".
∴ Number of people attended Regualr show= [tex](5000-x)[/tex]
We know, total cost= [tex]Price\ of\ each\ ticket \times number\ of\ people[/tex]
Now, forming an equation to show total spending on tickets.
⇒ [tex]\$ 9.50(5000-x)+ \$ 7x= \$ 44000[/tex]
Using distributive property of multiplication to multiply 9.50 with 5000 and -x.
⇒ [tex]47500-9.50x+7x= 44000[/tex]
⇒ [tex]47500-2.5x= 44000[/tex]
Adding both side by 2.5x
⇒ [tex]47500 = 44000 + 2.5x[/tex]
subtracting both side by 44000
⇒ [tex]3500= 2.5x[/tex]
Dividing both side by 2.5
⇒[tex]x= \frac{3500}{2.5}[/tex]
∴[tex]x= 1400[/tex]
Hence, number of people attended the matinee show are 1400.
