Which system of equations can be used to solve the following problem?
each child ticket for a ride costs $3, while each adult ticket costs $5. if the ride collected a total of $115, and 33 tickets were sold, how many of each type of ticket were sold? let c be the number of child tickets and a be the number of adult tickets.
a.3c+5a=33
a + c=115
b. 3a+5c=33
a + c=115
c. 5c+3a=115
c + a=33
d. 3c+5a=115
a +c