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.

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