Mathematics 4024 · O Level · Introduction to algebra

Introduction to algebra — practice question

Juan sells gift bags that contain soaps and candles. Matrix $C$ shows the contents of one large gift bag and one small gift bag: $C = \begin{pmatrix} 6 & 4 \\ 2 & 1 \end{pmatrix}$. A soap has mass $120\text{ g}$ and a candle has mass $60\text{ g}$. Matrix $M = \begin{pmatrix}120 \\ 60\end{pmatrix}$.
(a)[1]

Find how many extra candles a large gift bag has compared with a small gift bag.

(b(i))[2]

$N = CM$. Find matrix $N$.

(b(ii))[1]

Explain what each entry in matrix $N$ stands for.

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