Question

Cody and Darry each improved their yards by planting day lilies and shrubs. They bought their supplies from the same store. Cody spent $84 on 2 day lilies and 6 shrubs. Darry spent $120 on 6 day lilies and 6 shrubs. What is the cost of one day lily and the cost of one shrub?​

Answer 1

One lily is $9

One shrub is $11

Explanation:

Let the lillies be x

Let the shrub be y

2x + 6y= 84.........i

6x + 6y = 120..........ii

Lets make x the subject formula in eq(I)

2x= 84- 6y

x = 42 - 3y........iii

Put the value of x into eq (ii)

6(42-3y) + 6y = 120

252 - 18y + 6y= 120

252 - 12y= 120

12y= 252-120

12y= 132

Y= 11

Put the value of Y into eq (I)

2x + 6(11)= 84

2x + 66= 84

2x= 18

X= 9

Therefore,the cost of one day lily is $9 and the cost of one shrub is $11.