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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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You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

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<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

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The given expression is -28xy + 35y

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The expression which is equivalent to the given expression is given by

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