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# Jim filled his dog's bowl with 80 dog food pellets. Starting

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Intern
Joined: 27 Mar 2013
Posts: 36
Jim filled his dog's bowl with 80 dog food pellets. Starting  [#permalink]

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25 May 2014, 15:01
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00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:38) correct 29% (01:45) wrong based on 307 sessions

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Jim filled his dog's bowl with 80 dog food pellets. Starting at 8:00 a.m., Jim's dog ate exactly once an hour, consuming exactly half of the number of dog food pellets remaining in the bowl at each feeding session. What percent of the original 80 pellets were there in the dog's bowl right before the dog began to eat at noon of the same day?

A. 2.75%
B. 3.125%
C. 6.25%
D. 12.5%
E. 20%
Math Expert
Joined: 02 Sep 2009
Posts: 54369
Re: Jim filled his dog's bowl with 80 dog food pellets. Starting  [#permalink]

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25 May 2014, 15:20
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1
gmatquant25 wrote:
Jim filled his dog's bowl with 80 dog food pellets. Starting at 8:00 a.m., Jim's dog ate exactly once an hour, consuming exactly half of the number of dog food pellets remaining in the bowl at each feeding session. What percent of the original 80 pellets were there in the dog's bowl right before the dog began to eat at noon of the same day?

A. 2.75%
B. 3.125%
C. 6.25%
D. 12.5%
E. 20%

The dog ate 4 times, at 8:00 a.m., 9:00 a.m., 10:00 a.m. and 11:00 a.m.

Each time, after eating, half of the pellets were left in the bowl than before, thus after 4 meals 80*1/2^4=5 pellets were left in the bowl.

5/80 is little more than 5%.

_________________
Intern
Joined: 02 Jun 2014
Posts: 11
Location: United States
GMAT 1: 720 Q47 V41
GPA: 3.23
WE: Research (Other)
Re: Jim filled his dog's bowl with 80 dog food pellets. Starting  [#permalink]

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11 Jun 2014, 19:03
1
Can also just start with 1 since % at 12 pm is all we need. Start with 1 and divide in half every hour.

Amount at 8 AM: 1/1

9 AM: 1/2

10 AM: 1/4

11 AM: 1/8

12 PM: 1/16

1/16 = .0625 or 6.25%
Intern
Joined: 13 Sep 2015
Posts: 5
Re: Jim filled his dog's bowl with 80 dog food pellets. Starting  [#permalink]

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11 Sep 2016, 06:45
Ans C. At 8 AM -- 80 pellets were served eaten 40, at 9 am 40+80=120 were served, eaten 60.At 10am 60+80=140 were served eaten 70. At 11am, 70+80=150 were served eaten 75. remaining 80-75=5. 5/80*100=6.25
Manager
Joined: 20 Jun 2013
Posts: 51
Location: India
Concentration: Economics, Finance
GMAT 1: 430 Q39 V25
GPA: 3.5
WE: Information Technology (Other)
Re: Jim filled his dog's bowl with 80 dog food pellets. Starting  [#permalink]

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14 Aug 2017, 12:25
thanks for a question that seems easy but is not in its own inherent way and one has to keep guard against such questions in gmat.. thanks also for the explanations provided and kudos for the provider
Re: Jim filled his dog's bowl with 80 dog food pellets. Starting   [#permalink] 14 Aug 2017, 12:25
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# Jim filled his dog's bowl with 80 dog food pellets. Starting

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