SOLUTION: danielle and julia each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Danielle spend $60 of 10 daylilies and 5 bu

Question 1026917: danielle and julia each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Danielle spend $60 of 10 daylilies and 5 bunches or ornamental grass. Julia spent $27 on 5 daylilies and 2 bunches on ornamental grass. Whats the cost of one bunch of ornamental grass and the cost of one daylily?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make daylilies = x
Make ornamental grass = y
Danielle spend $60 of 10 daylilies
and 5 bunches or ornamental grass.
10x + 5y = 60.......(1)
Julia spent $27 on 5 daylilies
and 2 bunches on ornamental grass.
5x + 2y = 27........(2)
Simultaneous equations:
10x + 5y = 60.......(1)
5x + 2y = 27........(2)
Multiply Eq(2) by 2
10x + 5y = 60.......(1)
10x + 4y = 54.......(2)
Subtract Eq(2) from Eq(1)
y = 6
Substitute y = 6 in Eq(1)
10x + 5y = 60.......(1)
10x + 5(6) = 60
10x + 30 = 60
10x = 60 - 30
10x = 30
x = 3
Daylilies cost $3
Ornamental grass = $6
Hope this helps :-)
RELATED QUESTIONS
Rob and Amy each improved their yards by planting daylilies and ornamental grass. They... (answered by Boreal)

I need help on this word problem its using substitution or elimination Kerri and dave... (answered by stanbon)

Asanji and Ndiba each improved their yards by planting rose bushes and ornamental grass,... (answered by ikleyn)

Mei and Danielle each improved their yards by planning rose bushes and ornamental grass. (answered by mananth)

daniel and kayla each improved their yards by planting daylilies and shrubs. they bought... (answered by ikleyn)

Anjali and joe improved their yards by planting daylilies and ivy. They bought their... (answered by addingup,ikleyn)

Julia and Mary each improved their yards by planting hostas and ivy. They bought their... (answered by stanbon)

27) Dan and Mark are selling fruit for a school fundraiser. Customers can buy small boxes (answered by Boreal)

Bill and heather each improved their yards by planting rose bushes and geraniums. They... (answered by Boreal)