Answer:
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 [tex]x.[/tex]
So, the cost of an adult ticket = [tex]2x-2.50[/tex].
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:
[tex]2(x)+3(2x-2.50)=47.75[/tex]
[tex]2x+6x-7.50=47.75[/tex]
[tex]8x-7.50=47.75[/tex]
Adding both sides by 7.50 we get:
[tex]8x=55.25[/tex]
[tex]x=6.91[/tex]
The cost of child ticket = $6.91.
Now, to get the cost of adult ticket by substituting the value of [tex]x[/tex]:
[tex]2x-2.50\\=2(6.91)-2.50\\=13.82-2.50\\=11.32.[/tex]
The cost of adult ticket = $11.32.
Therefore, the cost of a child ticket is $6.91 and an adult ticket is $11.32.
