54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They

bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of

ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the

cost of one daylily and the cost of one bunch of ornamental grass.

dalilar.

### Leave a Comment

You must be logged in to post a comment.

Answer:Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:For this one, you want to

convert this into simultaneous equations.If we let

dbecost of one daylilyandobecost of one bunch of ornamental grass, we canwrite the equationsas2d+3o=43and6d+3o=87.From there, we can see they

share a like term(3o), so wesubtract one equation from the other(since they both are preceded by a +). This gives4d=44.Dividing both sides by 4isolates d, leavingd=$11.We can

substitute this value into either equationto work out o (I’m using the first one as it is easier). This makes it2×11+3o=43, or22+3o=43.From there, we

subtract 22 from both sides, giving3o=21, anddividing by 3gives a final result ofo=$7.**This content involves

writing and solving simultaneous equations, which you may wish to revise. I’m always happy to help!All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass2d+3o=43 6d+3o=876d+3o=87

– – –

2d+3o=43

= = =

4d =44

÷4 ÷4

d =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7