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# Eloise’s aquarium contains six tropical fish. If the largest fish is 4

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
Eloise’s aquarium contains six tropical fish. If the largest fish is 4  [#permalink]

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22 Jan 2016, 10:29
00:00

Difficulty:

35% (medium)

Question Stats:

77% (01:34) correct 23% (01:47) wrong based on 40 sessions

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Eloise’s aquarium contains six tropical fish. If the largest fish is 4 ounces heavier than the smallest fish, how heavy is the smallest fish?

(1) If the largest fish were 6 ounces heavier, it would weigh twice as much as the smallest fish.
(2) The six fish average 14 ounces in weight.

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Re: Eloise’s aquarium contains six tropical fish. If the largest fish is 4  [#permalink]

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22 Jan 2016, 22:53
1
l = s + 4; s = ?

St1: l + 6 = 2s --> l = 2s - 6
2s - 6 = s + 4 --> s = 10 --> Sufficient

St2: F1 + F2 + F3 + F4 + F5 + F6 = 84
Assume F1 is the heaviest and F6 is the lightest --> s + 4 + s + 3 + s + 3 + s + 2 + s + 1 + s = 84 or
s + 4 + s + 3 + s + 2 + s + 1 + s + 1 + s = 84
Thus we do can have multiple values for the value of s --> Not sufficient

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Re: Eloise’s aquarium contains six tropical fish. If the largest fish is 4  [#permalink]

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20 Nov 2017, 00:43
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Re: Eloise’s aquarium contains six tropical fish. If the largest fish is 4 &nbs [#permalink] 20 Nov 2017, 00:43
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