The Bukhari family and the Garcia family are heading off on holiday. In the Bukhari family there are 2 adults and 3 children, whereas in the Garcia family there are 4 adults and 1 child.
(a)[1]
Complete matrix $M$ so that it represents this information.
(b(i))[5]
The fare for one adult is $\$x$ and the fare for one child is $\$y$. The matrix $N = \begin{pmatrix} x \\ y \end{pmatrix}$ represents this information. The matrix $P = MN = \begin{pmatrix} 525 \\ 575 \end{pmatrix}$. Using an algebraic method, determine the values of $x$ and $y$. Show your working.
(b(ii))[1]
Explain what each element of $P$ stands for.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “the ordered pairs $(2,3)$ and $(4,1)$” …