Which system of equations can be used to solve the following problem?
Each child ticket for a ride costs $2, while each adult ticket costs $6. If the ride collected a total of $148, and 38 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.
Equation set including begin equation begin product of two and c end product plus begin product of six and a end product equals thirty-eight end equation. Begin equation a plus c equals one hundred and forty-eight end equation.
B.
Equation set including begin equation begin product of two and a end product plus begin product of six and c end product equals thirty eight end equation. Begin equation a plus c equals one hundred and forty-eight end equation.
C.
Equation set including begin equation begin product of six and c end product plus begin product of two and a end product equals one hundred and forty-eight end equation. Begin equation c plus a equals thirty-eight end equation.
D.
Equation set including begin equation begin product of two and c end product plus begin product of six and a end product equals one hundred and forty-eight end equation. Begin equation a plus c equals thirty-eight end equation.