SOLUTION: A florist has two arrangements offered at special prices. The first Arrangement consists of 5 lilies and 1 rose and costs $19.75. The second arrangement consists of 6 lilies and 3

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Question 960049: A florist has two arrangements offered at special prices. The first Arrangement consists of 5 lilies and 1 rose and costs $19.75. The second arrangement consists of 6 lilies and 3 roses and costs $27.75. What are the costs of each lily and each rose?

Answer by stanbon(75887) About Me  (Show Source):
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A florist has two arrangements offered at special prices. The first Arrangement consists of 5 lilies and 1 rose and costs $19.75. The second arrangement consists of 6 lilies and 3 roses and costs $27.75. What are the costs of each lily and each rose?
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Equations:
5L + R = 19.75
6L + 3R = 27.75
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Modify for elimination::
15L + 3R = 59.25
6L + 3R = 27.75
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Subtract and solve for "L"::
9L = 31.50
L = $3.50 (cost of one Lily)
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Solve for "R":
5L + R = 19.75
17.50 + R = 19.75
R = $2.50 (cost of one rose)
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Cheers,
Stan H.
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