A family of 2 adults and 3 children go to the movies. Adult tickets are $2.50 less than twice a children's ticket. If the total of the bill is $47.75, hat are the costs of each ticket.

The cost of a child ticket is $6.91 and an adult ticket is $11.32.

Step-by-step explanation:

Given:

A family of 2 adults and 3 children go to the movies.

Adult tickets are $2.50 less than twice a children's ticket.

The total of the bill is $47.75.

Now, to find the costs of each ticket.

Let the cost of a child ticket be

So, the cost of an adult ticket = .

Family of 2 adults and 3 children go to the movies.

The total of the bill is $47.75.

Now, to get the costs of each ticket:

Adding both sides by 7.50 we get:

The cost of child ticket = $6.91.

Now, to get the cost of adult ticket by substituting the value of :

The cost of adult ticket = $11.32.

Therefore, the cost of a child ticket is $6.91 and an adult ticket is $11.32.

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