Answer :
Final answer:
The question represents a system of linear equations problem, and we can solve it using either substitution or elimination method to find the cost of one hosta and one geranium.
Explanation:
The subject in consideration here is a form of a linear system of equations problem, where we are trying to determine the cost of individual items — in this case, hostas and geraniums — given the total expenditure. Let's denote the cost of a hosta as 'H' and the cost of a geranium as 'G'. From the problem, we know that:
1H + 2G = $28 (from Ashley's purchase); and
13H + 11G = $199 (from Eduardo's purchase).
We can solve this system of equations using either substitution or elimination method. Using the elimination method, we'll multiply the first equation by 13 and the second by 1. This allows us to cancel out the 'H' terms when we subtract the second equation from the first.
We get:
1H + 2G = $28; and
13H + 11G = $199.
Now, after the mentioned calculation, we'll find the values of H and G. These will represent the cost of one hosta and one geranium, respectively.
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