Question

The matrices show the number of different types of burgers and hot dogs that two different cooks made one day at a restaurant .

Answer 1

Answer: 
$\begin{bmatrix}35 & 30\\17 & 11\end{bmatrix}$

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Work Shown:

Add up the corresponding elements

Row1,Column1: 17+18 = 35
Row1,Column2: 16+14 = 30
Row2,Column1: 8+9 = 17
Row2,Column2: 7+4 = 11

Which can be expressed as
$\begin{bmatrix}17 & 16\\8 & 7\end{bmatrix}+\begin{bmatrix}18 & 14\\9 & 4\end{bmatrix}=\begin{bmatrix}17+18 & 16+14\\8+9 & 7+4\end{bmatrix}$
$\begin{bmatrix}17 & 16\\8 & 7\end{bmatrix}+\begin{bmatrix}18 & 14\\9 & 4\end{bmatrix}=\begin{bmatrix}35 & 30\\17 & 11\end{bmatrix}$