Ticket totals for a six-day week
Ticket totals for a six-day week
Secondary 4
4 marks
A sports centre is closed on Mondays. It is open on four weekdays, Tuesday to Friday, and at the weekend. The matrix \(A\) shows the number of entry tickets sold on each of the four weekdays, and the matrix \(B\) shows the number sold on each weekend day, Saturday and Sunday.
\(A=\begin{pmatrix}30&45&60\\ 15&40&25\end{pmatrix}\qquad B=\begin{pmatrix}70&90&80\\ 50&85&40\end{pmatrix}\)
In both matrices the rows are adult, child and the columns are morning, afternoon, evening.
- Evaluate \(4A\).[1]
- Evaluate \(4A+2B\).[2]
- Explain what the entry in row 2, column 3 of \(4A+2B\) represents.[1]
Solution:
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Answer:(a) \(\begin{pmatrix}120&180&240\\ 60&160&100\end{pmatrix}\) (b) \(\begin{pmatrix}260&360&400\\ 160&330&180\end{pmatrix}\) (c) 180 child tickets sold for evening sessions in one week (Tuesday to Sunday)
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