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Answer :
Final answer:
The cost of one square foot of sod is $9 and the cost of one geranium is $3.
Explanation:
In this problem, the price of the grass sod and geraniums are the same for both Perry and Jose from the same store, but they bought different quantities. We can represent this problem using two linear equations and solve for the cost of one square foot of grass sod and one geranium.
Let G be the price of one square foot of grass sod and R be the price of one geranium. Thus we have:
- 14G + 13R = 165 (This represents Perry's purchases)
- 14G + 7R = 147 (This represents Jose's purchases)
Subtract the second equation from the first we get:
6R = 18
Which simplifies to:
R = 3
Substitute R = 3 to the first equation, we get:
14G + 39 = 165
Which simplifies to:
G = 9
Therefore, the cost of one square foot of grass sod is $9 and the cost of one geranium is $3.
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