Question

Sumalee and Lea each improved their yards by planting rose bushes and ornamental grass. Theybought their supplies from the same store. Sumalee spent $28 on 2 rose bushes and 3 bunches ofornamental grass. Lea spent $40 on 2 rose bushes and 6 bunches of ornamental grass. What is thecost of one rose bush and the cost of one bunch of ornamental grass?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Sumalee

$28 ====> 2 rose bushes + 3 bunches of ornamental grass

Lea

$40 ====> 2 rose bushes + 6 bunches of ornamental grass

x = cost rose bushes

y = cost bunches of ornamental grass

Step 02:

We must write the equations to solve the problem.

eq1. 2x + 3y = 28

eq.2 2x + 6y = 40

Step 03:

We solve the system of equations

2x = 28 - 3y eq.1

2x = 40 - 6y eq.2

28 - 3y = 40 - 6y

-3y + 6y = 40 - 28

3y = 12

y = 12 / 3

y = 4

2x = 28 - 3y

2x = 28 - 3(4)

2x = 28 - 12

x = 16 / 2

x = 8

The answer is:

x = cost rose bushes = $8

y = cost bunches of ornamental grass = $4