Answer:
Amount charges for 1 rose bush = [tex]\$12[/tex]
Amount charges for 1 lilac bush = [tex]\$18[/tex]
Step-by-step explanation:
Let x denotes cost of one rose bush and y denotes cost of one lilac bush.
Given statement 1: A garden shop charges $72 for 3 rose bushes and 2 lilac bushes.
we get ,
3x+2y = 72 ....(i)
Given statemnet 2: A garden shop charges $114 for 5 rose bushes and 3 lilac bushes.
we get ,
5x+3y=114 ...(ii)
From equation1, [tex]x=\frac{72-2y}{3}[/tex]
On this value of x in equation (ii), we get
[tex]5\left ( \frac{72-2y}{3} \right )+3y=114\\360-10y+9y=342\\y=360-342\\=18\\\Rightarrow x=\frac{72-2y}{3}\\=\frac{72-2(18)}{3}\\=\frac{72-36}{3}\\=\frac{36}{3}\\\\=12[/tex]
So,
Amount charges for 1 rose bush = [tex]\$12[/tex]
Amount charges for 1 lilac bush = [tex]\$18[/tex]
