Question

Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches of

ornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?

Answer 1

Day lilies and ornamental grass are $2, $8 respectively

Explanation:

step one

we need to represent the scenario with a system of equation

let day lilies be represented with x

and ornamental grass be y

Hence we have

`x+9y= 74--------1\\x+14y= 114------2`

Let us subtract 1 from 2 we have

`x+14y= 114------2\\\\\\ -(x+9y= 74--------1\\=0+5y= 40`

Dividing both sides by 5 we have

y= 40/5

y= 8

step 2

Substitute y = 8 in equation 1 we have

x+9(8)= 74

x+72= 74

x=74-72

x= 2

Day lilies and ornamental grass are $2, $8 respectively