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# A bag is filled with 36 orange candies and 24 red candies for a total

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
A bag is filled with 36 orange candies and 24 red candies for a total  [#permalink]

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27 Dec 2017, 23:42
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:18) correct 19% (01:38) wrong based on 89 sessions

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A bag is filled with 36 orange candies and 24 red candies for a total for 60 candies. If 15 candies are eaten, how many red candies are left in the bag?

(1) The ratio of orange candies to red candies in the bag after the 15 are removed is 2 : 1
(2) The ratio of red candies to total number of candies removed is 2 : 5.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52294
Re: A bag is filled with 36 orange candies and 24 red candies for a total  [#permalink]

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07 Jan 2018, 08:36
Bump.............................
_________________
Intern
Joined: 04 Jun 2018
Posts: 9
Location: Viet Nam
WE: Supply Chain Management (Internet and New Media)
Re: A bag is filled with 36 orange candies and 24 red candies for a total  [#permalink]

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25 Dec 2018, 21:07
(1) After remove 15 candies, there are 60-15=45 total candies left. $$\frac{Orange}{Red}$$ = $$\frac{2}{1}$$ => Red candies = 15, orange candies = 30 => Sufficient

(2) x denotes the number of red candies. Ratio: $$\frac{Red}{Removed}$$ = $$\frac{2}{5}$$ => $$\frac{x}{15}$$ = $$\frac{2}{5}$$ => x = 6 => Sufficient

Manager
Joined: 04 Oct 2017
Posts: 77
Re: A bag is filled with 36 orange candies and 24 red candies for a total  [#permalink]

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26 Dec 2018, 18:50
lybeaver wrote:
(1) After remove 15 candies, there are 60-15=45 total candies left. $$\frac{Orange}{Red}$$ = $$\frac{2}{1}$$ => Red candies = 15, orange candies = 30 => Sufficient

(2) x denotes the number of red candies. Ratio: $$\frac{Red}{Removed}$$ = $$\frac{2}{5}$$ => $$\frac{x}{15}$$ = $$\frac{2}{5}$$ => x = 6 => Sufficient

Hi,

Need a clarification. Shouldn't the number of red candies be the same in both options???
Intern
Joined: 04 Jun 2018
Posts: 9
Location: Viet Nam
WE: Supply Chain Management (Internet and New Media)
Re: A bag is filled with 36 orange candies and 24 red candies for a total  [#permalink]

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26 Dec 2018, 19:14
1
Kezia9 wrote:
lybeaver wrote:
(1) After remove 15 candies, there are 60-15=45 total candies left. $$\frac{Orange}{Red}$$ = $$\frac{2}{1}$$ => Red candies = 15, orange candies = 30 => Sufficient

(2) x denotes the number of red candies. Ratio: $$\frac{Red}{Removed}$$ = $$\frac{2}{5}$$ => $$\frac{x}{15}$$ = $$\frac{2}{5}$$ => x = 6 => Sufficient

Hi,

Need a clarification. Shouldn't the number of red candies be the same in both options???

In DS question type, your job is to determine whether you can answer the question using the information given. You look at statement (1) first then ask yourself whether it's enough to answer the question. Then you look at statement (2) and ask yourself the same. 2 statements can give you different answers as long as it's correct.
Intern
Joined: 02 Feb 2018
Posts: 36
Re: A bag is filled with 36 orange candies and 24 red candies for a total  [#permalink]

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03 Jan 2019, 11:10
1
Question is flawed because (2) gives us #red=6 whereas the minimum of #red is: 24-15=9
Re: A bag is filled with 36 orange candies and 24 red candies for a total &nbs [#permalink] 03 Jan 2019, 11:10
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