SOLUTION: Mei and Danielle each improved their yards by planning rose bushes and ornamental grass. They bought their supplies from the same store. Mei spent $138 on 9 rose bushes and 13 bu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mei and Danielle each improved their yards by planning rose bushes and ornamental grass. They bought their supplies from the same store. Mei spent $138 on 9 rose bushes and 13 bu      Log On


   

Question 822470: Mei and Danielle each improved their yards by planning rose bushes and ornamental grass. They bought their supplies from the same store. Mei spent $138 on 9 rose bushes and 13 bunches of ornamental grass. Danielle spent $117 on 9 rose bushes and 6 bunches of ornamental grass. What is the cost of one rose bush and the cost of one bunch of ornamental grass?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= cost of rose bush
y= cost of grass bunch
Mei
9.00 x + 13.00 y = 138.00 .............1
Danielle
9.00 x + 6.00 y = 117.00 .............2
Eliminate y
multiply (1)by -1.00
Multiply (2) by 1.00
-9.00 x -13.00 y = -138.00
9.00 x + 6.00 y = 117.00
Add the two equations
-7y = -21.00
/-7
y = 3
plug y in equation (1) you will get x =11