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# Of the first three dozen cookies baked at a bake shop on a certain day

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Manager
Joined: 26 Dec 2018
Posts: 144
Location: India
Of the first three dozen cookies baked at a bake shop on a certain day  [#permalink]

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29 Dec 2018, 10:23
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:25) correct 40% (00:39) wrong based on 20 sessions

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Of the first three dozen cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies.
If 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, how many chocolate chip cookies were baked that day?

(2) Of all the cookies made that day, 2/5 were chocolate chip

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Director
Joined: 04 Sep 2015
Posts: 662
Location: India
WE: Information Technology (Computer Software)
Re: Of the first three dozen cookies baked at a bake shop on a certain day  [#permalink]

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29 Dec 2018, 10:44
Of the first three dozen cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies.
If 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, how many chocolate chip cookies were baked that day?

(2) Of all the cookies made that day, 2/5 were chocolate chip

solution:

3 dozen=36,
1/3 of dozen=12,

1.1/2 of the remaining were choco cookies and 5 dozen were made in total, so remaining is 24 and 24/2=12 so total 24 choco cookies made.

Sufficient.

we get x and we get half of it and so the total choco cookies made=24.

Sufficient.

Both provide answer independently. option D is correct.
Intern
Joined: 23 Jul 2018
Posts: 18
Location: India
GMAT 1: 660 Q48 V32
GPA: 4
WE: Information Technology (Telecommunications)
Re: Of the first three dozen cookies baked at a bake shop on a certain day  [#permalink]

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29 Dec 2018, 10:46
1
UB001 wrote:
Of the first three dozen cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies.
If 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, how many chocolate chip cookies were baked that day?

(2) Of all the cookies made that day, 2/5 were chocolate chip

(1) The bakery made five dozen cookies that day: since 3 dozen were already baked, the next 2 dozen would have 1 dozen chocolate chip cookies.
Hence, a total of 2 dozen (24) chocolate chip cookies were baked that day. --------> Sufficient

(2) Of all the cookies made that day, 2/5 were chocolate chip: Let x be remaining choco chip cookies and 2x be total no. of cookies left for the day.
From given fraction above we get, (12+x)/(24+x) = 2/3 => (ratio of choco chip cookies to other cookies).
Hence, we get x=12, and so total choco chip cookies during the day =24. ---------> Sufficient

Math Expert
Joined: 02 Sep 2009
Posts: 58404
Re: Of the first three dozen cookies baked at a bake shop on a certain day  [#permalink]

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31 Dec 2018, 01:40
UB001 wrote:
Of the first three dozen cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies.
If 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, how many chocolate chip cookies were baked that day?

(2) Of all the cookies made that day, 2/5 were chocolate chip

Discussed here: https://gmatclub.com/forum/of-the-first ... fl=similar
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Re: Of the first three dozen cookies baked at a bake shop on a certain day   [#permalink] 31 Dec 2018, 01:40
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