Question

shanice and jenny each improved their yards by planting grass sod and ornamental grass. they bought their supplies from the same store. shanice spent $280 on 14 feet of grass sod and 14 bunches of ornamental grass. jenny spent $251 on 12 ft of grass sod and 13 bunches of ornamental grass find the cost of one ft of grass sod and the cost of one bunch of ornamental grass.

Answer 1

$10 per foot and per bunch of ornamental grass

Step-by-step explanation:

Answer 2

Grass sod: $9

Ornamental grass: $11

Step-by-step explanation:

In order to solve this we first have to set a term for each Grass sod and ornamental grass, we will use X and Y for each one:

Grass sod: X

Ornamental grass: Y

So we create two equations:

14x + 14y=280

12x+13y=251

We can solve this system of ecuations by elimination:

`12(14x + 14y=280)=168x+168y=3360\\-14(12x+13y=251)= -168x-182y=-3514\\-14y=-154\\y=11`

Now we just inser the value of Y into anyone of the two equations:

`14x + 14y=280\\14x+ 14(11)=280\\14x+154=280\\14x=280-144\\14x=126\\x=(126)/(14) \\x=9`

So we know that the grass rod costs 9 dollars and the ornamental grass 11