## Ashley spent $228 on 6 rose bushes and 18 shrubs. Heather spent $139 on 8 rose bushes and 9 shrubs. What is the cost of one rose bush and th

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## Answers ( )

Answer:The cost of one rose bush is$5and the cost of one shrub is$11.Step-by-step explanation:Given:

Ashley spent $228 on 6 rose bushes and 18 shrubs.

Heather spent $139 on 8 rose bushes and 9 shrubs.

Now, to find the cost of one rose bush and the cost of one shrub.

Let the cost of one rose bush be[tex]x.[/tex]And let the cost of one shrub be[tex]y.[/tex]So, the total money Ashley spent on 6 rose bushes and 18 shrubs:[tex]6x+18y=228[/tex]

[tex]6x=228-18y[/tex]

Dividing both sides by 6 we get:[tex]x=38-3y[/tex]

…….(1)Now, the total money Heather spent on 8 rose bushes and 9 shrubs are:[tex]8x+9y=139[/tex]

Substituting the value of[tex]x[/tex]from equation (1) we get:[tex]8(38-3y)+9y=139[/tex]

[tex]304-24y+9y=139[/tex]

[tex]304-15y=139[/tex]

Subtracting both sides by 304 we get:[tex]-15y=-165[/tex]

Dividing both sides by -15 we get:[tex]y=11.[/tex]

The cost of one shrub = $11.Now, substituting the value of[tex]y[/tex]in equation (1) we get:[tex]x=38-3y[/tex]

[tex]x=38-3\times 11[/tex]

[tex]x=38-33[/tex]

[tex]x=5.[/tex]

The cost of one rose bush = $5.Therefore,

the cost of one rose bush is $5 and the cost of one shrub is $11.