Meal tickets at the circus cost $\$ 4.00$ for children and $\$ 12.00$ for adults. If 1,550 meal tickets were bought for a total of $\$ 13,000$, how many children and how many adults bought meal tickets? Enter the exact answers. The number of adult meal tickets sold was Number The number of child meal tickets sold was Number

Step 1 ：Let x be the number of adult meal tickets and y be the number of child meal tickets. We have the following equations:

Step 2 ：\(1. x + y = 1550\) (total number of meal tickets)

Step 3 ：\(2. 12x + 4y = 13000\) (total cost of meal tickets)

Step 4 ：Solve the system of equations to find the values of x and y.

Step 5 ：\(\begin{bmatrix} 1 & 1 \\ 12 & 4 \end{bmatrix}\begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 1550 \\ 13000 \end{bmatrix}\)

Step 6 ：The solution is \(\begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 850 \\ 700 \end{bmatrix}\)

Step 7 ：\(\boxed{\text{The number of adult meal tickets sold was 850.}}\)

Step 8 ：\(\boxed{\text{The number of child meal tickets sold was 700.}}\)