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?

1 Answer
Dec 30, 2016

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