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20 Aug 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:03) correct
31%
(02:21)
wrong
based on 166
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
(A) 20
(B) 30
(C) 35
(D) 40
(E) 45
20 Aug 2024, 01:51
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Lets say Fox started with \(x\) coins
First time it crosses the bridge it had \(2x-40\) coins
Second time it crosses, \(2*(2x-40)-40=4x-120\)
Third time it crosses, \(2*(4x-120)-40=8x-280\), it is left with no coins
\(8x-280=0\)
\(8x=280\)
\(x=35\)
Answer is C
First time it crosses the bridge it had \(2x-40\) coins
Second time it crosses, \(2*(2x-40)-40=4x-120\)
Third time it crosses, \(2*(4x-120)-40=8x-280\), it is left with no coins
\(8x-280=0\)
\(8x=280\)
\(x=35\)
Answer is C
20 Aug 2024, 01:58
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Let the initial amount of coins = \(x\)
After the third trip Fox has no coins left: \(2[2(2x-40) - 40] = 0\)
\(2(4x-120) = 40\)
\(8x = 280\)
\(x = 35\)
ANSWER C
After the third trip Fox has no coins left: \(2[2(2x-40) - 40] = 0\)
\(2(4x-120) = 40\)
\(8x = 280\)
\(x = 35\)
ANSWER C
