Imani and Adam each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Imani spent $160 on 10 ft2 of grass sod and 10 geraniums. Adam spent $156 on 6 ft2 of grass sod and 12 geraniums. Find the cost of one ft2 of grass sod and the cost of one geranium.

Question

Mathematics

Zachariah Jacobson

5 November, 08:33

Imani and Adam each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Imani spent $160 on 10 ft2 of grass sod and 10 geraniums. Adam spent $156 on 6 ft2 of grass sod and 12 geraniums. Find the cost of one ft2 of grass sod and the cost of one geranium.

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Answers (2)

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Ryleigh Douglas · Answer 1

Answer: skrt skrt

Viviana Rosario · Answer 2

The cost of one ft2 of grass sod: $6

The cost of one geranium: $10

Step-by-step explanation:

Let's call the cost of one grass sod x, and the cost of 1 geranium y. Then, we get the equations 10x + 10y = 160, and 6x + 12y = 156. Divide the first equation by 10 and the second by 6 to get x + y = 16 and x + 2y = 26. Subtract the first equation from the second to get that y = 10, so x = 6.