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Trickster Rabbit agrees with Foolish Fox to double Fox's money every t
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31 Mar 2021, 05:30
31 Mar 2021, 05:30
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68% (01:58) correct
32% (02:10) wrong based on 25 sessions
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Trickster Rabbit agrees with Foolish Fox to double Fox's money every time Fox crosses the bridge by Rabbit's house, as long as Fox pays 40 coins in toll to Rabbit after each crossing. The payment is made after the doubling, Fox is excited about his good fortune until he discovers that all his money is gone after crossing the bridge three times. How many coins did Fox have at the beginning?
(A) 20
(B) 30
(C) 35
(D) 40
(E) 45
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 20
(B) 30
(C) 35
(D) 40
(E) 45
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: Trickster Rabbit agrees with Foolish Fox to double Fox's money every t
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31 Mar 2021, 05:44
31 Mar 2021, 05:44
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Carcass wrote:
Trickster Rabbit agrees with Foolish Fox to double Fox's money every time Fox crosses the bridge by Rabbit's house, as long as Fox pays 40 coins in toll to Rabbit after each crossing. The payment is made after the doubling, Fox is excited about his good fortune until he discovers that all his money is gone after crossing the bridge three times. How many coins did Fox have at the beginning?
(A) 20
(B) 30
(C) 35
(D) 40
(E) 45
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 20
(B) 30
(C) 35
(D) 40
(E) 45
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's test the answer choices.
We know that the answer can't be A (20), because the game would be over after Fox crosses the bridge ONCE.
So, let's start with B (30)
Fox starts with 30 coins
1st bridge crossing: double coins to have 60 coins. Pay 40 coins. 20 coins remaining.
2nd bridge crossing: double coins to have 40 coins. Pay 40 coins. 0 coins remaining.
GAME OVER.
Fox is supposed to cross THREE times.
Eliminate B
Test C (35)
Fox starts with 35 coins
1st bridge crossing: double coins to have 70 coins. Pay 40 coins. 30 coins remaining.
2nd bridge crossing: double coins to have 60 coins. Pay 40 coins. 20 coins remaining.
3rd bridge crossing: double coins to have 40 coins. Pay 40 coins. 0 coins remaining.
PERFECT! Fox crossed exactly THREE times.
Answer: C
Cheers,
Brent
General Discussion
Trickster Rabbit agrees with Foolish Fox to double Fox's money every t
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04 Sep 2023, 10:21
04 Sep 2023, 10:21
Let x be the total money
After first trip, money left with fox = 2x-40
After second trip, money left with fox = 2(2x-40) - 40 => 4x-120
After third trip, money left with fox = 2(4x-120) - 40 => 8x-280
after third trip, money left is 0 , therefore 8x-280 = 0 => x = 35
Hence, (c) is the answer
After first trip, money left with fox = 2x-40
After second trip, money left with fox = 2(2x-40) - 40 => 4x-120
After third trip, money left with fox = 2(4x-120) - 40 => 8x-280
after third trip, money left is 0 , therefore 8x-280 = 0 => x = 35
Hence, (c) is the answer
