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Write a system of equations to solve the following problem. Let c be the number of child tickets and a be the number of adult tickets

Child ticket costs- $3
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?

Please help! I need help writing the equation!

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There were 33 tickets, so A + C = 33
The cost was 133$, and they bought A tickets for 5$ and C for 3$, so (5*A)+(3*C) = 133

A + C = 33
5A + 3C = 133

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