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Kathryn and Pranav each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Kathryn spent $27 on 6 ft^2 of grass sod and 5 geraniums. Pranav spent $51 on 9 ft of grass sod and 11 geraniums. What is the cost of one ft^2 of grass sod and the cost of one geranium?

Kathryn and Pranav each improved their yards by planting grass sod and geraniums They bought their supplies from the same store Kathryn spent 27 on

Answer :

Step-by-step explanation:

6ft² of grass sod + 5 geraniums = $27

9 ft² of grass sod + 11 geraniums = $51

Let x represent 1ft² of grass sod.

Let y represent 1 geranium.

We have 6x + 5y = $27.

=> 1.5(6x + 5y) = 1.5 * $27, 9x + 7.5y = $40.5.

9x + 11y = $51

- (9x + 7.5y = $40.5)

=> 3.5y = $10.5, y = $3.

Therefore 6x + 5($3) = $27,

6x + $15 = $27, 6x = $12, x = $2.

Hence 1ft² of grass sod costs $2

and 1 geranium costs $3.

Thanks for taking the time to read Kathryn and Pranav each improved their yards by planting grass sod and geraniums They bought their supplies from the same store Kathryn spent 27 on. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada