2025 PHS PRELIMS P1 Q21

2025 PHS PRELIMS P1 Q21

Secondary 4
6 marks

A bakery sells cheesecakes, fruit cakes and red velvet cakes. The weekend sales matrix is

CheeseFruitRed velvet
Saturday\(15\)\(20\)\(14\)
Sunday\(12\)\(18\)\(10\)

A cheesecake sells for \($x\), a fruit cake for \($(x-8)\), and a red velvet cake for \($(x-3)\).

  1. Represent the prices in a \(3\times1\) matrix \(J\).[1]
  2. Find, in terms of \(x\), the matrix \(K=GJ\).[2]
  3. State what the elements of \(K\) represent.[1]
  4. The total weekend amount collected is $5676. Find (x).[2]

Solution:

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Answer:(a) \(\begin{pmatrix}x\x-8\x-3\end{pmatrix}\) (b) \(\begin{pmatrix}49x-202\\40x-174\end{pmatrix}\) (c) daily revenues (d) \(x=68\)

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