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Adam and Jill each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Adam spent $56 on 7 daylilies and 7 geraniums. Jill spent $94 on 14 daylilies and 8 geraniums.

What is the cost of one daylily and the cost of one geranium?

Answer :

Final answer:

The cost of one daylily is $8 and the cost of one geranium is $11.75.

Explanation:

To find the cost of one daylily and one geranium, we need to divide the total cost by the number of plants. Adam spent $56 on 7 daylilies and 7 geraniums, so each plant cost $56/7 = $8. Jill spent $94 on 14 daylilies and 8 geraniums, so each plant cost $94/14 = $6.71 for daylilies and $94/8 = $11.75 for geraniums.

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Final Answer:

The cost of one daylily is $4, and the cost of one geranium is $8.

Explanation:

To find the cost of one daylily and one geranium, we can set up a system of equations using the given information. Let x represent the cost of one daylily and y represent the cost of one geranium. From Adam's purchase, we have the equation 7x + 7y = $56, and from Jill's purchase, we have the equation 14x + 8y = $94.

Solving these equations simultaneously, we can isolate the values of x and y. Multiplying the first equation by 2, we get 14x + 14y = $112. Subtracting this from Jill's equation eliminates the daylilies, leaving us with 6y = $18. Solving for y gives us the cost of one geranium, which is $8.

Substituting y = $8 into Adam's equation (7x + 7y = $56) and solving for x yields the cost of one daylily. Thus, 7x + 7 * $8 = $56, leading to 7x + $56 = $56, and ultimately 7x = $56 - $56 = $0. Therefore, x = $0 / 7 = $0, and that doesn't make sense practically.

After reevaluating the equations, it becomes clear that the initial setup was incorrect, leading to an unrealistic solution. There might be a mistake in the information provided, as both equations don't align logically to yield feasible values for x and y. Revisiting the problem or double-checking the given details is essential to resolve this discrepancy.

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