SOLUTION: At a peculiar fruit stand, 3 kiwis costs $21.39 minus the cost of 6 grapefruits, and 5 kiwis and 6 grapefruits costs $34.69. What is the cost of each fruit?

Question 1002136: At a peculiar fruit stand, 3 kiwis costs $21.39 minus the cost of 6 grapefruits, and 5 kiwis and 6 grapefruits costs $34.69. What is the cost of each fruit?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At a peculiar fruit stand, 3 kiwis costs $21.39 minus the cost of 6 grapefruits, and 5 kiwis and 6 grapefruits costs $34.69. What is the cost of each fruit?
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Equations:
3k = 21.39 - 6g
5k + 6g = 34.69
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Rearrange:
3k + 6g = 21.39
5k + 6g = 34.69
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Subtract and solve for "k"::
2k = 13.30
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k = 6.65 (Cost of one Kiwi)
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Solve for "g"::
3k + 6g = 21.39
19.95 + 6g = 21.39
6g = 1.44
g = 0.24 (Cost of one grapefruit)
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Cheers,
Stan H.
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