SOLUTION: Rob and Amy each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Rob spent $104 on 12 daylilies and 8 bunches of or

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Rob and Amy each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Rob spent $104 on 12 daylilies and 8 bunches of or      Log On


   

Question 993948: Rob and Amy each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Rob spent $104 on 12 daylilies and 8 bunches of ornamental grass. Amy spent $22 on 6 daylilies and 1 bunch of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
daylily cost=x
grass cost=y
12x+8y=104
6x+y=22
y=22-6x
12x+8(22-6x)=104 by substitution
12x+176-48x=104
-36x=-72
x=$2 for daylily
Substitute into first
24+8y=104
8y=80
y=$10 for ornamental grass
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check with second
6(2)+10=$22