Recovering an unknown price

Recovering an unknown price

Secondary 3
4 marks
TGM Original Questions

A stall sells drinks and sandwiches. Two orders have quantity matrix \(Q=\begin{pmatrix}3&2\\ 5&1\end{pmatrix}\), with rows Order A, Order B and columns drinks, sandwiches. A drink costs \(\$2\) and a sandwich costs \(\$x\). The total charges satisfy \[Q\begin{pmatrix}2\\ x\end{pmatrix}=\begin{pmatrix}14\\ y\end{pmatrix}.\]

  1. Find \(x\).[2]
  2. Find \(y\) and explain its meaning.[2]

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Answer:(a) \(x=4\) (b) \(y=14\); Order B costs \(\$14\).

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