Question

A garden shop charges $72 for 3 rose bushes and 2 lilac bushes. It also charges $114 for 5 rose bushes and 3 lilac bushes. At these same rates, how much would the garden shop charge for 1 rose bush and 1 lilac bush?

Answer 1

They would charge $28.80 for 1 rose bush and 1 lilac bush. $72/5 flower bushes = $14.40. Thats the price of one bush. Since you're getting 2 bushes, multiply that by 2, and get 28.80.

Answer 2

Answer:

Amount charges for 1 rose bush = $\ 12$

Amount charges for 1 lilac bush = $\ 18$

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, $x=\frac{72-2y}{3}$

On this value of x in equation (ii), we get

$5\left ( \frac{72-2y}{3} \right )+3y=114\\360-10y+9y=342\\y=360-342\\=18\\\Rightarrow x=\frac{72-2y}{3}\\=\frac{72-2(18)}{3}\\=\frac{72-36}{3}\\=\frac{36}{3}\\\\=12$

So,

Amount charges for 1 rose bush = $\ 12$

Amount charges for 1 lilac bush = $\ 18$