Lea and kim each improve their yard by planting daylilies and shrubs. they bought their supplies from the same store. lea spent $86 on 7 daylilies and 6 shrubs. kim spent $132 on 9 daylilies and 12 shtubs. find the cost of one daylilies and the cost of one shrub

Let us represent the cost of day lilies by d and the cost of shrubs by s. We set up two equations,

Lea:

7d+6s=86

Kim:

9d+12s=132

Rearranging Lea's equation to make d the subject,

d = 86-6s / 7

Substituting this value of d into Kim's equation:

9 (86-6s / 7) + 12s=132

102s+12s=132

114s=132

s=1.16

Substituting this value into the original equation:

9d+12 (1.16) = 132

9d+13.92=132

9d=118

d=13.12

The cost of a day lily is $13.12 and the cost of a shrub is $1.16.