It is currently 18 Jan 2018, 23:29

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Kim bought a total of $2.65 worth of postage stamps in four

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 29 Jun 2014
Posts: 2

Kudos [?]: 4 [0], given: 1

Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 29 Jun 2014, 02:28
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:51) correct 28% (01:58) wrong based on 221 sessions

HideShow timer Statistics

Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?

(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
[Reveal] Spoiler: OA

Kudos [?]: 4 [0], given: 1

1 KUDOS received
Manager
Manager
avatar
Joined: 21 Sep 2012
Posts: 218

Kudos [?]: 212 [1], given: 31

Location: United States
Concentration: Finance, Economics
Schools: CBS '17
GPA: 4
WE: General Management (Consumer Products)
Re: Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 29 Jun 2014, 02:57
1
This post received
KUDOS
1
This post was
BOOKMARKED
manideepgre wrote:
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an
equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps,
what is the least number of 1-cent stamps she could have bought?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25


Let us covert all the denominations in terms of 5 cents.
25 cent=5 * 5 cent stamp
10 cent=2* 5 cent stamp

Kim bought equal no of 5 cent and 25 cent stamps and twice as many 10-cent stamps as 5-cent stamps.
Therefore every lot of purchase must vary in multiple 1+5+4(2*2)=10 purchases of 5 cent stamp.
Therefor every lot is worth 50 cents. Closest multiple of 50 to 265 is 250 (50*5).
Therefore Kim has to purchase atleast 15 stamps of 1 cent.

Ans=C

Kudos [?]: 212 [1], given: 31

Expert Post
Founder
Founder
User avatar
D
Joined: 04 Dec 2002
Posts: 16320

Kudos [?]: 30007 [0], given: 5458

Location: United States (WA)
GMAT 1: 750 Q49 V42
GMAT ToolKit User CAT Tests
Re: Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 29 Jun 2014, 13:14
manideepgre wrote:
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an
equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps,
what is the least number of 1-cent stamps she could have bought?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25



Moved to the proper sub-forum.
Please post your questions in the PS/DS/SC/CR/RC sub-forums and tag properly.
Thank you.
_________________

Founder of GMAT Club

Just starting out with GMAT? Start here... or use our Daily Study Plan


Co-author of the GMAT Club tests

Kudos [?]: 30007 [0], given: 5458

6 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1844

Kudos [?]: 2861 [6], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 19 Nov 2014, 00:56
6
This post received
KUDOS
3
This post was
BOOKMARKED
Answer = C = 15

............... 1 ............... 5 ................ 10 ............... 25 ................ Total

............... b ................ a ................... 2a ............ a ...................... 265

b + 5a + 20a + 25a = 265

b + 50a = 265

To have b "minimum"; 50a has to be maximum

Nearest to 265 is 250 which is divisibly by 50

265-250 = 15

b = 15
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2861 [6], given: 193

1 KUDOS received
Manager
Manager
User avatar
Joined: 03 Jan 2015
Posts: 68

Kudos [?]: 44 [1], given: 224

Concentration: Strategy, Marketing
WE: Research (Pharmaceuticals and Biotech)
GMAT ToolKit User
Re: Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 11 Jan 2015, 06:25
1
This post received
KUDOS
2
This post was
BOOKMARKED
Question: Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?

Let:
# of 5 and 25 cents stamps = n
# of 10 cent stamps = 2n
# of 1 cent stamps = m

Therefore:
5n + 25n + 10(2n) + m = 265 cents
50n + m = 265

For least number of 1 cents stamps, maximize 50n. Hence,

50*5 + m = 265 (n max has to be 5. For 6, the cost becomes 300 cents that exceeds his purchase of 265 cents)
m = 15 i.e. 15 stamps 1 cents each

Answer: C

Kudos [?]: 44 [1], given: 224

Manager
Manager
User avatar
B
Joined: 16 Mar 2016
Posts: 134

Kudos [?]: 58 [0], given: 0

Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
GMAT ToolKit User
Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 07 May 2016, 03:30
a * (0,05) + a * (0,25) + 2a * (0,10) + b * 0,01 = 2,65

So, a(0,05+0,25+0,20) + b*0,01 = 2,65 => a * 0,50 + b*0,01 = 2,65

Given that the least answer choice is 25, a>4 (4*0,5 = 2)

So, let's try a=5
5 * 0,50 + b*0,01 = 2,5 + b*0,01
b * 0,01 = 0,15
b=15

Kudos [?]: 58 [0], given: 0

Senior Manager
Senior Manager
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 407

Kudos [?]: 28 [0], given: 283

Re: Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 22 Oct 2016, 16:47
Use the following equation:

1a+5b+10c+25d = 265
b=d
2b=c

Plug in values --> 1a+5b+20b+25b = 265
1a + 50b = 265

bmax = 5 --> 250

265-250 = 15

Kudos [?]: 28 [0], given: 283

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1820

Kudos [?]: 1048 [0], given: 5

Re: Kim bought a total of $2.65 worth of postage stamps in four [#permalink]

Show Tags

New post 12 Nov 2017, 07:46
manideepgre wrote:
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?

(A) 5
(B) 10
(C) 15
(D) 20
(E) 25


We can create the following variables:

a = number of 1-cent stamps

b = number of 5-cent stamps

c = number of 10-cent stamps

d = number of 25-cent stamps

Thus:

2.65 = 0.01a + 0.05b + 0.10c + 0.25d

and

b = d

and

c = 2b

Thus, we have:

2.65 = 0.01a + 0.05b + 0.10(2b) + 0.25b

2.65 = 0.01a + 0.50b

265 = a + 50b

265 - 50b = a

We want the value of b to be as large as possible and still maintain that the value of 265 - 50b is positive and that value will be the least value of a. We see that if b = 5, then a = 15 (if b > 5, then 265 - 5b, or a, will be negative). Thus, the least value of a is 15.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1048 [0], given: 5

Re: Kim bought a total of $2.65 worth of postage stamps in four   [#permalink] 12 Nov 2017, 07:46
Display posts from previous: Sort by

Kim bought a total of $2.65 worth of postage stamps in four

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.