Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

Adam and Ben purchase cinema and theatre tickets.
(a)[1]

Adam purchases $5$ cinema tickets and $4$ theatre tickets, while Ben purchases $7$ cinema tickets and $9$ theatre tickets. Complete matrix $X$ to show this information.

(b(i))[2]

Cinema tickets cost $\$11$ each and theatre tickets cost $\$30$ each. The matrix $Y = \begin{pmatrix}11\\30\end{pmatrix}$. $P = XY$. Find the matrix $P$.

(b(ii))[1]

Explain the meaning of the entries in matrix $P$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\begin{pmatrix}5&4\\7&9\end{pmatrix}$

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