Question

a florist makes three special flower arrangements. one uses three lilies. the second uses five lilies and three carnations. the third uses five daisies and four carnations. lilies cost $2.25 each, carnations cost $0.80 each, and daisies cost $1.20 each. complete parts (a) through (c) below
(a) write a matrix to show the number of each type of flower in each arrangement.
lilies carnations daisies
arrangement 1
arrangement 2
arrangement 3

Explanation:

Step1: Analyze Arrangement 1

Arrangement 1 uses 3 lilies, 0 carnations, 0 daisies.

Step2: Analyze Arrangement 2

Arrangement 2 uses 5 lilies, 3 carnations, 0 daisies.

Step3: Analyze Arrangement 3

Arrangement 3 uses 0 lilies, 4 carnations, 5 daisies.

Answer:

$$\begin{bmatrix} 3&0&0\\ 5&3&0\\ 0&4&5 \end{bmatrix}$$