Gabriella and Stephanie each improved their yards by planting grass sod and ornamental grass. They bought their supplies from the same store. Gabriella spent $172 on 14 ft2 of grass sod and 2 bunches of ornamental grass. Stephanie spent $158 on 7 ft2 of grass sod and 9 bunches of ornamental grass. Find the cost of one ft2 of grass sod and the cost of one bunch of ornamental grass.

Question

Mathematics

Gretchen Pena

28 December, 08:53

Gabriella and Stephanie each improved their yards by planting grass sod and ornamental grass. They bought their supplies from the same store. Gabriella spent $172 on 14 ft2 of grass sod and 2 bunches of ornamental grass. Stephanie spent $158 on 7 ft2 of grass sod and 9 bunches of ornamental grass. Find the cost of one ft2 of grass sod and the cost of one bunch of ornamental grass.

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Dreamey · Answer 1

14x + 2y = $172

7x + 9y = $158 (x = grass sod y = ornamental grass)

14x + 2y = 172

14x + 18y = 316 (Multiply Equation 2 by 2 to eliminate x)

when you subtract both equations you get - 16y = - 144 therefore y=9

Final step: Plug in 14x + 2 (9) = 172 14x=154 x=11

1 sq ft of grass sod costs $11 and one bunch of ornamental grass costs $9