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2) Castel and Sumalee each improved their yards by planting rose bushes and ornamental grass.They bought their supplies from the same store. Castel spent $69 on 5 rose bushes and 8 bunchesof ornamental grass. Sumalee spent $42 on 2 rose bushes and 8 bunches of ornamental grass.What is the cost of one rose bush and the cost of one bunch of ornamental grass?#2

2 Castel and Sumalee each improved their yards by planting rose bushes and ornamental grass They bought their supplies from the same store Castel spent

Answer :

Let the cost of rose bushes is x.

Let the cost of a bunch of ornamental grass is y.

It is given that,

Castel spent $69 on 5 rose bushes and 8 bunches of ornamental grass.

That is,

5x+8y=69.

Sumalee spent $42 on 2 rose bushes and 8 bunches of ornamental grass.

That is,

2x+8y=42.

To find x and y:

Subtracting these two equations we get,

[tex]\begin{gathered} 5x+8y=69 \\ -2x-8y=-42 \\ _{---------------} \\ 3x=27 \\ x=9 \end{gathered}[/tex]

Substitute x=9 in second equation we get,

[tex]\begin{gathered} 2(9)+8y=42 \\ 18+8y=42 \\ 8y=24 \\ y=3 \end{gathered}[/tex]

Hence, the cost of rose bushes is $9 and the cost of a bunch of ornamental grass is $3.

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