EM-2088

Matrix multiplication

E Math · Secondary 4 · Hard · Matrix multiplication

The matrix of ticket sales for two days is

S = \begin{pmatrix}200 & 150\\180 & 220\end{pmatrix},

where the first column is adult tickets and the second column is child tickets. Adult tickets cost \$25 and child tickets cost \5. The price matrix is

P = \begin{pmatrix}25\\15\end{pmatrix}.

What is the matrix

T = SP

$\begin{pmatrix}7250\\7800\end{pmatrix}$
$\begin{pmatrix}5000\\4500\end{pmatrix}$
$\begin{pmatrix}7250&7800\end{pmatrix}$
$\begin{pmatrix}6500\\6900\end{pmatrix}$

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