Question

4)Erica and Megan each improved theiryards by planting daylilies and shrubs.They bought their supplies from thesame store. Erica spent $200 on 9daylilies and 10 shrubs. Megan spent$185 on 13 daylilies and 5 shrubs. Whatis the cost of one daylily and the cost ofone shrub?Type text here

Answer 1

One daylily $10 and 1 shrub $11

1) Gathering the data from the question

Erica spent $200 on 9 daylillies and 10 shrubs

Megan spent $185 on 13 daylilies and 5 shrubs

9d+10s=200

13d+5s=185

2) Let's solve this system of linear equations now

9d+10s=200

13d+5s=185 Multiply by (-2)

9d +10s=200

-26d-10=-370

----------------------

-17d =-170

17d=170

d=10

9(10) +10s=200

90+10s-90=200-90

10s=200-90

10s=110

s=11

So the cost of one daylily is$10 and 1 shrub is $11