2026 CCHMS P1 Q11

2026 CCHMS P1 Q11

Secondary 4
5 marks

The drink stall at a hawker centre sells tea, coffee and Milo.

In one week, the drink stall sells 500 cups of tea (T), 1200 cups of coffee (C) and 800 cups of Milo (M).

The next week, the drink stall sells 400, 900 and 700 cups of tea, coffee and Milo respectively.

  1. Represent this information in a \(2\times3\) matrix, \(\mathbf P\).[1]
    \(\mathbf P=\begin{array}{c}\begin{array}{ccc}T&C&M\end{array}\\\left(\begin{array}{ccc}\phantom{1200}&\phantom{1200}&\phantom{1200}\\\phantom{1200}&\phantom{1200}&\phantom{1200}\end{array}\right)\end{array}\begin{array}{l}\phantom{T}\\\text{Week 1}\\\text{Week 2}\end{array}\)
  2. The cost of a cup of tea, coffee and Milo are \(\$1.00\), \(\$1.10\) and \(\$1.70\) respectively.
    Represent this information in a \(3\times1\) matrix \(\mathbf R\).[1]
  3. Evaluate the matrix \(\mathbf{PR}\).[2]
  4. Explain what each of the elements in the matrix \(\mathbf{PR}\) represent.[1]

Solution:

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Answer:(a) \(\begin{pmatrix}500&1200&800\\400&900&700\end{pmatrix}\) (b) \(\begin{pmatrix}1.00\\1.10\\1.70\end{pmatrix}\) (c) \(\begin{pmatrix}3180\\2580\end{pmatrix}\) (d) Total receipts in dollars for weeks 1 and 2 respectively.

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