Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 03:02

### 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

# Max has $125 consisting of bills each worth either$5 or

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

### Hide Tags

Director
Joined: 27 Jun 2008
Posts: 543
WE 1: Investment Banking - 6yrs
Followers: 2

Kudos [?]: 64 [0], given: 92

Max has $125 consisting of bills each worth either$5 or [#permalink]

### Show Tags

05 Nov 2009, 12:26
4
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

64% (02:01) correct 36% (00:57) wrong based on 260 sessions

### HideShow timer Statistics

Max has $125 consisting of bills each worth either$5 or $20. How many bills worth$5 does Max have?

(1) Max has fewer than 5 bills worth $5 each. (2) Max has more than 5 bills worth$20 each.

Official Guide 12 Question

 Question: 57 Page: 277 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: max-has-125-consisting-of-bills-each-worth-either-5-or-140249.html
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39045
Followers: 7753

Kudos [?]: 106507 [4] , given: 11627

Re: Q57, OG 12 Max bills [#permalink]

### Show Tags

05 Nov 2009, 12:54
4
KUDOS
Expert's post
2
This post was
BOOKMARKED
pm4553 wrote:
Max has $125 consisting of bills each worth either$5 or $20. How many bills worth$5 does Max have?

1) Max has fewer than 5 bills worth $5 each 2) Max has more than 5 bills worth$20

Discuss..

Let x be the # of 5$bills and y # of 20$ bills --> $$5x+20y=125$$ --> $$x=?$$

(1) $$x<5$$ --> $$5x+20y=125$$ --> $$y=\frac{125-5x}{20}=\frac{25-x}{4}$$ as $$x<5$$ and $$y$$ must be an integer then only possible value for $$x$$ is 1. Sufficient.

(1) $$y>5$$ --> $$5x+20y=125$$ --> $$x=\frac{125-20y}{5}=25-4y$$ as $$y>5$$ and $$x$$ must not negative then only possible value for $$y$$ is 6, hence $$x=1$$. Sufficient.

_________________
Intern
Affiliations: CA - India
Joined: 27 Oct 2009
Posts: 45
Location: India
Schools: ISB - Hyderabad, NSU - Singapore
Followers: 20

Kudos [?]: 730 [0], given: 5

Re: Q57, OG 12 Max bills [#permalink]

### Show Tags

06 Nov 2009, 00:13
agree with Bunuel, i wud go by assuming numbers than forming equations, saves time..
in 1, take values less than 5 and only value satisying the result is 1. must be sufficient to get the answer.
in 2, take values more than 20, and only value satisfying the result is 6, giving us resultant value of 5$bills to be 1. hence sufficient. Ans must be D. Director Joined: 27 Jun 2008 Posts: 543 WE 1: Investment Banking - 6yrs Followers: 2 Kudos [?]: 64 [0], given: 92 Re: Q57, OG 12 Max bills [#permalink] ### Show Tags 06 Nov 2009, 01:25 Bunuel wrote: pm4553 wrote: Max has$125 consisting of bills each worth either $5 or$20. How many bills worth $5 does Max have? 1) Max has fewer than 5 bills worth$5 each
2) Max has more than 5 bills worth $20 Discuss.. Let x be the # of 5$ bills and y # of 20$bills --> $$5x+20y=125$$ --> $$x=?$$ (1) $$x<5$$ --> $$5x+20y=125$$ --> $$y=\frac{125-5x}{20}=\frac{25-x}{4}$$ as x<5 and y is an integer value only possible value for x is 1. Sufficient. (1) $$y>5$$ --> $$5x+20y=125$$ --> $$x=\frac{125-20y}{5}=25-4y$$ as y>5 and x is not negative only possible value for y is 6, hence x=1. Sufficient. Answer: D. Good explanation, thanks! OA is D Math Expert Joined: 02 Sep 2009 Posts: 39045 Followers: 7753 Kudos [?]: 106507 [0], given: 11627 Re: Max has$125 consisting of bills [#permalink]

### Show Tags

15 Nov 2010, 01:14
Expert's post
1
This post was
BOOKMARKED
monirjewel wrote:
Max has $125 consisting of bills each worth either$5 or $20. How many bills worth$5 Max have?
(1) Max has fewer than 5 bills worth $5 each (2) Max has more than 5 bills worth$20 each

Let $$x$$ be the # of 5$bills and $$y$$ # of 20$ bills --> $$5x+20y=125$$ --> $$x=?$$

(1) $$x<5$$ --> $$5x+20y=125$$ --> $$y=\frac{125-5x}{20}=\frac{25-x}{4}$$ as $$x<5$$ and $$y$$ must be an integer then only possible value for $$x$$ is 1. Sufficient.

(1) $$y>5$$ --> $$5x+20y=125$$ --> $$x=\frac{125-20y}{5}=25-4y$$ as $$y>5$$ and $$x$$ must not negative then only possible value for $$y$$ is 6, hence $$x=1$$. Sufficient.

_________________
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7380
Location: Pune, India
Followers: 2292

Kudos [?]: 15151 [2] , given: 224

Re: Max has $125 consisting of bills [#permalink] ### Show Tags 15 Nov 2010, 08:10 2 This post received KUDOS Expert's post 1 This post was BOOKMARKED monirjewel wrote: Max has$125 consisting of bills each worth either $5 or$20. How many bills worth $5 Max have? (1) Max has fewer than 5 bills worth$5 each
(2) Max has more than 5 bills worth $20 each Bunuel has already discussed the algebraic way pretty elegantly. Let me just give you the non-algebra method here. When we say we need$125, in $5 and$20 bills, first thing that comes to mind is that I need at least one $5 bill to get the 5 of 125. If I have only one$5 bill, I will need six $20 bills to make$120.

Also, if I have more than one $5 bill, I will need to reduce$20 bills. For every one $20 bill I reduce, I need four$5 bills to make up for it.
So number of $5 bills will be 1 or 5 or 9 or 13 and so on.. Stmnt 1: If$5 bills are fewer than 5, Max must have only one $5 bill. Sufficient. Stmnt 2: If he has more than five$20 bills, he must have six $20 bills because that is the maximum number of$20 bills he can have. In that case he must have only one $5 bill. Sufficient. Answer (D) _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Manager
Joined: 13 Jul 2010
Posts: 168
Followers: 1

Kudos [?]: 88 [0], given: 7

### Show Tags

17 Nov 2010, 07:55
answer is D, without any algebra
Intern
Joined: 12 Sep 2011
Posts: 13
Followers: 0

Kudos [?]: 0 [0], given: 3

Re: Q57, OG 12 Max bills [#permalink]

### Show Tags

19 Sep 2012, 18:55
Bunuel wrote:
pm4553 wrote:
Max has $125 consisting of bills each worth either$5 or $20. How many bills worth$5 does Max have?

1) Max has fewer than 5 bills worth $5 each 2) Max has more than 5 bills worth$20

Discuss..

Let x be the # of 5$bills and y # of 20$ bills --> $$5x+20y=125$$ --> $$x=?$$

(1) $$x<5$$ --> $$5x+20y=125$$ --> $$y=\frac{125-5x}{20}=\frac{25-x}{4}$$ as $$x<5$$ and $$y$$ must be an integer then only possible value for $$x$$ is 1. Sufficient.

(1) $$y>5$$ --> $$5x+20y=125$$ --> $$x=\frac{125-20y}{5}=25-4y$$ as $$y>5$$ and $$x$$ must not negative then only possible value for $$y$$ is 6, hence $$x=1$$. Sufficient.

Dude, you're the **** best - thanks!
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GPA: 3.23
Followers: 26

Kudos [?]: 468 [0], given: 11

Re: Max has $125 consisting of bills each worth either$5 or [#permalink]

### Show Tags

19 Sep 2012, 22:13
pm4553 wrote:
Max has $125 consisting of bills each worth either$5 or $20. How many bills worth$5 does Max have?

(1) Max has fewer than 5 bills worth $5 each. (2) Max has more than 5 bills worth$20 each.

Official Guide 12 Question

 Question: 57 Page: 277 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

125 = 5x + 20y
x = ?

the units digit of 125 is 5. From the equation 20y will always yield a value with 0 as it's units digit.
While 5x will then have to yield a value that ends with 5.

(1) if x is less than 5 then, we can choose from 0,1,2,3,4 but 5x should end with 5 so, we are left with 1 and 3 as possibilities.
Let x=1, the 20y should be 120, y=6
let x=3, then 5x=15 so 20y should be 125-15=110. But 110 is not a multiple of 20 so, not possible.
Thus, x=1. SUFFICIENT

(2) if y is greater than 5
Let us try y=6, this is possible!
Let us try y=7, 20y = 140, this is not possible or our eq.
thus, y=6. SUFFICIENT

_________________

Impossible is nothing to God.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15507
Followers: 651

Kudos [?]: 210 [0], given: 0

Re: Max has $125 consisting of bills each worth either$5 or [#permalink]

### Show Tags

19 Nov 2013, 10:55
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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 39045
Followers: 7753

Kudos [?]: 106507 [0], given: 11627

Re: Max has $125 consisting of bills each worth either$5 or [#permalink]

### Show Tags

19 Nov 2013, 15:30
OPEN DISCUSSION OF THIS QUESTION IS HERE: max-has-125-consisting-of-bills-each-worth-either-5-or-140249.html
_________________
Re: Max has $125 consisting of bills each worth either$5 or   [#permalink] 19 Nov 2013, 15:30
Similar topics Replies Last post
Similar
Topics:
1 Bill bought several binders. If each binder was either a $2.20 binder 3 17 Apr 2017, 20:25 3 A school has 60 students. Each student studies either Cantonese or Fre 11 20 Oct 2016, 12:44 1 Mark has fewer than 9 coins. Each coin is either a quarter 4 26 May 2017, 07:39 26 Max has$125 consisting of bills each worth either $5 or$20 10 17 Nov 2016, 01:33
40 Each member of a pack of 55 wolves has either brown or blue 15 23 Mar 2017, 16:47
Display posts from previous: Sort by

# Max has $125 consisting of bills each worth either$5 or

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.