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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



Answer :

the answer is C. 5c+3a=115
c + a=33
if each child's ticket is $3 and there are 4 child tickets sold, then the total is 3×4 if each child ticket is $3 and there are "c" child tickets sold, the total is 3c for the childs tickets

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