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Charra [1.4K]
3 years ago
15

5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was

$44,000. How many people attended the matinee?
Mathematics
1 answer:
yuradex [85]3 years ago
7 0

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= (5000-x)

We know, total cost= Price\ of\ each\ ticket \times number\ of\ people

Now, forming an equation to show total spending on tickets.

⇒ \$ 9.50(5000-x)+ \$ 7x= \$ 44000

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ 47500-9.50x+7x= 44000

⇒ 47500-2.5x= 44000

Adding both side by 2.5x

⇒ 47500 = 44000 + 2.5x

subtracting both side by 44000

⇒ 3500= 2.5x

Dividing both side by 2.5

⇒x= \frac{3500}{2.5}

∴x= 1400

Hence, number of people attended the matinee show are 1400.

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