Answer
$\begin{bmatrix} 1& 1& 1 \\ 2.5 & 4 & 2 \\ 1 & -2 & -2 \end{bmatrix} \begin{bmatrix} R \\ L \\ I \end{bmatrix}= \begin{bmatrix} 120 \\ 300 \\ 0 \end{bmatrix} $
Work Step by Step
We are told that the total number of flowers are $120$.
From the previous part:
$R+L+I=120 ....(1)$
$ 2.5 R+4L+2I=300 ...(2)$
$R=2(L+I) ....(3)$
Our goal is to write a matrix equation which corresponds to equations (1), (2) and (3).
Thus, $X= \begin{bmatrix} 1& 1& 1 \\ 2.5 & 4 & 2 \\ 1 & -2 & -2 \end{bmatrix} \begin{bmatrix} R \\ L \\ I \end{bmatrix}= \begin{bmatrix} 120 \\ 300 \\ 0 \end{bmatrix} $
