Danny purchased a number of grease pumps of only two : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 11:11

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Danny purchased a number of grease pumps of only two

Author Message
TAGS:

### Hide Tags

Manager
Joined: 05 Nov 2012
Posts: 171
Followers: 1

Kudos [?]: 33 [1] , given: 57

Danny purchased a number of grease pumps of only two [#permalink]

### Show Tags

19 Dec 2012, 22:36
1
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

59% (02:37) correct 41% (01:24) wrong based on 87 sessions

### HideShow timer Statistics

Danny purchased a number of grease pumps of only two possible variants: $5 pumps and$25 pumps. If the ratio between the number of $5 pumps purchased and the number of$25 pumps purchased is 13:7, How many $5 grease pumps did Danny buy? (1) The total purchase price of the grease pumps Danny bought was less than$400 .
(2) The total purchase price of the grease pumps Danny bought was greater than $200. Source: HULT [Reveal] Spoiler: OA Math Expert Joined: 02 Sep 2009 Posts: 36582 Followers: 7086 Kudos [?]: 93273 [1] , given: 10555 Re: Danny purchased a number of grease pumps of only two [#permalink] ### Show Tags 20 Dec 2012, 02:00 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED Danny purchased a number of grease pumps of only two possible variants:$5 pumps and $25 pumps. If the ratio between the number of$5 pumps purchased and the number of $25 pumps purchased is 13:7, How many$5 grease pumps did Danny buy?

Given that $$\frac{({}5 \ pumps)}{({}25 \ pumps)}=\frac{13x}{7x}$$, for some positive integer $$x$$.

(1) The total purchase price of the grease pumps Danny bought was less than $400 --> $$5*13x+25*7x<400$$ --> $$x<\frac{5}{3}$$. Since $$x$$ is an integer then $$x=1$$ --> $$({}5 \ pumps)=13x=13$$. Sufficient. (2) The total purchase price of the grease pumps Danny bought was greater than$200 --> $$5*13x+25*7x>200$$ --> $$x>\frac{5}{6}$$ --> $$x$$ can be any integer more than or equal to 1. Not sufficient.

_________________
Moderator
Joined: 02 Jul 2012
Posts: 1231
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 116

Kudos [?]: 1388 [0], given: 116

Re: Danny purchased a number of grease pumps of only two [#permalink]

### Show Tags

19 Dec 2012, 23:44
Amateur wrote:
Danny purchased a number of grease pumps of only two possible variants: $5 pumps and$25 pumps. If the ratio between the number of $5 pumps purchased and the number of$25 pumps purchased is 13:7, How many $5 grease pumps did Danny buy? (1) The total purchase price of the grease pumps Danny bought was less than$400 .

(2) The total purchase price of the grease pumps Danny bought was greater than $200. Source: HULT Let no. of$25 pumps be T. Then no. of $5 pumps should be $$\frac{13T}{7}$$ $$25*T + 5*\frac{13T}{7} = P$$ where T is an positive integer divisible by 7. => $$25*T + \frac{65T}{7} = P$$ T = 7, P = 240 T=14, P = 480 and so on. 1) T = 7. Sufficient. 2)T can be 7,14,21 and so on.. Insufficient. Answer is hence A. _________________ Did you find this post helpful?... Please let me know through the Kudos button. Thanks To The Almighty - My GMAT Debrief GMAT Reading Comprehension: 7 Most Common Passage Types Last edited by MacFauz on 19 Dec 2012, 23:48, edited 2 times in total. Director Joined: 25 Apr 2012 Posts: 728 Location: India GPA: 3.21 WE: Business Development (Other) Followers: 43 Kudos [?]: 698 [0], given: 723 Re: Danny purchased a number of grease pumps of only two [#permalink] ### Show Tags 19 Dec 2012, 23:46 Amateur wrote: Danny purchased a number of grease pumps of only two possible variants:$5 pumps and $25 pumps. If the ratio between the number of$5 pumps purchased and the number of $25 pumps purchased is 13:7, How many$5 grease pumps did Danny buy?
(1) The total purchase price of the grease pumps Danny bought was less than $400 . (2) The total purchase price of the grease pumps Danny bought was greater than$200.

Source: HULT

Hi,

Let ' a ' be the no of 5$pumps and 'b' be the no of 25$ pump. We need to find a

Given a: b :: 13: 7

From St 1, 5a +25b < 400

Since a and b are in the ratio of 13:7, there is only one possible value of a and b i.e 13 and 7 only

So St1 is sufficient

From St 2, 5a +25 b>200. There can be many values of a and b in the ratio of 13:7 ie. 13 and 7 or 26 and 14 etc

Hence ans should be B
_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Last edited by WoundedTiger on 16 Jan 2014, 02:21, edited 1 time in total.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13463
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Danny purchased a number of grease pumps of only two [#permalink]

### Show Tags

04 Jul 2015, 00:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
SVP
Joined: 17 Jul 2014
Posts: 2201
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '19 (S)
GMAT 1: 560 Q42 V26
GMAT 2: 550 Q39 V27
GMAT 3: 560 Q43 V24
GMAT 4: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Followers: 20

Kudos [?]: 270 [0], given: 140

Re: Danny purchased a number of grease pumps of only two [#permalink]

### Show Tags

06 Oct 2016, 05:50
Amateur wrote:
Danny purchased a number of grease pumps of only two possible variants: $5 pumps and$25 pumps. If the ratio between the number of $5 pumps purchased and the number of$25 pumps purchased is 13:7, How many $5 grease pumps did Danny buy? (1) The total purchase price of the grease pumps Danny bought was less than$400 .
(2) The total purchase price of the grease pumps Danny bought was greater than $200. Source: HULT nice question! suppose we have x pumps that cost 5$ and y pumps that cost 25$. Danny then spent 5x+25y dollars on the pumps. we also know that the ratio of x to y is 13:7. minimum we can have is 13 x pumps and 7 y pumps. 13*5$ = 65$7*25 = 175$
so minimum spent 240$. 1. total purchase price is less than 400$. only 1 option works... B, C, and E are out.
2. we can have various options...we can have x=13, y=7, or x=26, y=14, etc. not sufficient. D is out.

Re: Danny purchased a number of grease pumps of only two   [#permalink] 06 Oct 2016, 05:50
Similar topics Replies Last post
Similar
Topics:
8 S and T are two water pumps that run at constant rates. If pump T pump 7 26 Jun 2015, 01:51
6 What is the median number of books purchased per student in 6 24 Mar 2014, 14:29
1 A sporting goods store purchased a number of baseballs and 2 01 Nov 2013, 23:03
1 A hotel purchased a number of hand towels and a number of 2 09 Oct 2013, 19:15
4 A garden store purchased a number of shovels and a number of 7 31 Jan 2008, 19:12
Display posts from previous: Sort by