Question

PLEASE HELP ME!

At the city museum, child admission is $5.40 and adult admission is $9.50 . On Sunday, 139 tickets were sold for a total sales of $972.00 . How many adult tickets were sold that day?

Answer 1

54

Explanation:

Let number of adult tickets sold be
`a`

Let number of children tickets sold be
`c`

139 tickets were sold:

we can write:

`a+c=139`

a total sales of $972.00:

we can write:

`5.4c+9.5a=972`

Now solving for
`c` in the first equation and substituting that into 2nd equation, we can solve for
`a`, what we need. So:

`c=139-a\\-------\\5.4c+9.5a=972\\5.4(139-a)+9.5a=972\\750.6-5.4a+9.5a=972\\-5.4a+9.5a=972-750.6\\4.1a=221.4\\a=54`

Hence 54 adult tickets were sold.