Question

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.

Answer 1

The two equations will be:

`2c+6a=148`

`a+c=38`

The choice appears to be 'D' but the way you have written the equations is very hard to read. Please write them out properly in order to check.

Answer 2

a.2c+6a=148 a+c=38

this is the answer