Question

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 the cost of one shrub?

Answer 1

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

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
`x.`

And let the cost of one shrub be
`y.`

So, the total money Ashley spent on 6 rose bushes and 18 shrubs:

`6x+18y=228`

`6x=228-18y`

Dividing both sides by 6 we get:

`x=38-3y` .......(1)

Now, the total money Heather spent on 8 rose bushes and 9 shrubs are:

`8x+9y=139`

Substituting the value of
`x` from equation (1) we get:

`8(38-3y)+9y=139`

`304-24y+9y=139`

`304-15y=139`

Subtracting both sides by 304 we get:

`-15y=-165`

Dividing both sides by -15 we get:

`y=11.`

The cost of one shrub = $11.

Now, substituting the value of
`y` in equation (1) we get:

`x=38-3y`

`x=38-3* 11`

`x=38-33`

`x=5.`

The cost of one rose bush = $5.

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