Question 305768: Pinky had twice as many potatoes as Dan, who had the same number of potatoes as Zippy. If Pinky gives 5 potatoes to Zippy, then Dan has three times as many potatoes as Pinky. How many potatoes did Dan have?
a) 10 b) 6 c) 3 d) 2 e) 1
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Pinky had twice as many potatoes as Dan, who had the same number of potatoes as Zippy. If Pinky gives 5 potatoes to Zippy, then Dan has three times as many potatoes as Pinky. How many potatoes did Dan have?
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Equations based on the narrative:
p = 2d
d = z
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If Pinky gives 5 potatoes to Zippy, then Dan has three times as many potatoes as Pinky.
d = 3(p-5)
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How many potatoes did Dan have?
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Substitute 2d for "p" and solve for "d".
d = 3(2d-5)
d = 6d-15
5d = 15
d = 3
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Cheers,
Stan H.
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a) 10 b) 6 c) 3 d) 2 e) 1
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