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# A gallon of paint is used to paint a room. One third of the paint is u

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Math Expert
Joined: 02 Sep 2009
Posts: 58310
A gallon of paint is used to paint a room. One third of the paint is u  [#permalink]

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24 Mar 2019, 21:58
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Difficulty:

25% (medium)

Question Stats:

71% (01:10) correct 29% (00:48) wrong based on 35 sessions

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A gallon of paint is used to paint a room. One third of the paint is used on the first day. On the second day, one third of the remaining paint is used. What fraction of the original amount of paint is available to use on the third day?

(A) 1/10
(B) 1/9
(C) 1/3
(D) 4/9
(E) 5/9

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Re: A gallon of paint is used to paint a room. One third of the paint is u  [#permalink]

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24 Mar 2019, 22:30
First time 1/3rd was used.
Second time 1/3rd of the remaining. I. E. 1/3of2/3
Remaining=1-1/3-2/9=4/9
Imo, option D

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Re: A gallon of paint is used to paint a room. One third of the paint is u  [#permalink]

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24 Mar 2019, 22:53
Bunuel wrote:
A gallon of paint is used to paint a room. One third of the paint is used on the first day. On the second day, one third of the remaining paint is used. What fraction of the original amount of paint is available to use on the third day?

(A) 1/10
(B) 1/9
(C) 1/3
(D) 4/9
(E) 5/9

total paint - 9
1st day used 3 ; left 6
2nd day used 2 ; left 4
3rd day; 4/9
IMO D
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Re: A gallon of paint is used to paint a room. One third of the paint is u  [#permalink]

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25 Mar 2019, 22:34
Paint used in day 1 = x/3 ==> remaining paint = 2x/3

paint used in day 2 = 2x/3 * 1/3 = 2x/9

Remaining paint = 2x/3 -2x/9 = (6x-2x) /9 = 4x/9

fraction of original paint remaining = (4x/9) / x = 4/9==Option D
Re: A gallon of paint is used to paint a room. One third of the paint is u   [#permalink] 25 Mar 2019, 22:34
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