Question

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.

Answer 1

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

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
`x.`

So, the cost of an adult ticket =
`2x-2.50`.

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:

`2(x)+3(2x-2.50)=47.75`

`2x+6x-7.50=47.75`

`8x-7.50=47.75`

Adding both sides by 7.50 we get:

`8x=55.25`

`x=6.91`

The cost of child ticket = $6.91.

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

`2x-2.50\\=2(6.91)-2.50\\=13.82-2.50\\=11.32.`

The cost of adult ticket = $11.32.

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