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A pencil case contains 20 pencils that are either new or used and are
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29 Mar 2022, 02:00
29 Mar 2022, 02:00
Expert Reply
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Question Stats:
92% (01:16) correct
7% (01:14) wrong based on 14 sessions
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A pencil case contains 20 pencils that are either new or used and are either red or green. If exactly 1/4 of them are new, 1/4 are red, and exactly 12 are used and green, how many are new and green?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Part of the project: Skill Builder Project for a Q170
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Joined: 09 Nov 2021
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Re: A pencil case contains 20 pencils that are either new or used and are
[#permalink]
29 Mar 2022, 04:23
29 Mar 2022, 04:23
1
This question is best done with a table.
You'll need something like this:
New Used TOTAL
R
G
Fill out what we know:
New Used TOTAL
R 5
G 12
------------------
5 20
This is filled out with the information that 1/4 (five of them) are new, 1/4 (5 of them) are red, and exactly 12 are used and green.
Now we can take this information and fill out what else it implies (I've starred these):
New Used TOTAL
R 2* 3* 5
G 3* 12 15*
------------------
5 15* 20
We're asked how many are new and green, which is this one:
New Used TOTAL
R 2* 3* 5
G 3* 12 15*
------------------
5 15* 20
The answer is B.
You'll need something like this:
New Used TOTAL
R
G
Fill out what we know:
New Used TOTAL
R 5
G 12
------------------
5 20
This is filled out with the information that 1/4 (five of them) are new, 1/4 (5 of them) are red, and exactly 12 are used and green.
Now we can take this information and fill out what else it implies (I've starred these):
New Used TOTAL
R 2* 3* 5
G 3* 12 15*
------------------
5 15* 20
We're asked how many are new and green, which is this one:
New Used TOTAL
R 2* 3* 5
G 3* 12 15*
------------------
5 15* 20
The answer is B.
gmatclubot
Re: A pencil case contains 20 pencils that are either new or used and are [#permalink]
29 Mar 2022, 04:23
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