Question

Each child ticket for a ride cost three dollars while each adult ticket cost five dollars. If the ride collected a total of $115 and 33 tickets were sold how many of each type of tickets were sold?

Answer 1

`8` adult tickets and `25` child tickets

Explanation:

Let the number of children's tickets be `c` and the number of adult tickets be `a`

We are told:
`color(white)("XXX")a+c=33 rarr a=33-c`
and
`color(white)("XXX")3c+5a=115 rarr 3c+5(33-c)=115`

`color(white)("XXXXXXXXXXXX")rarr -2c+165=115`

`color(white)("XXXXXXXXXXXX")rarr -2c=-50`

`color(white)("XXXXXXXXXXXX")rarr c=25`

and since `a=33-c rarr a=8`