Last visit was: 15 Jul 2025, 16:02 It is currently 15 Jul 2025, 16:02
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
User avatar
bmwhype2
Joined: 21 Jan 2007
Last visit: 08 Mar 2010
Posts: 1,338
Own Kudos:
5,367
 [22]
Given Kudos: 4
Location: New York City
Posts: 1,338
Kudos: 5,367
 [22]
Kudos
Add Kudos
22
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Jul 2025
Posts: 102,582
Own Kudos:
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,582
Kudos: 741,695
 [15]
8
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
General Discussion
User avatar
ricokevin
Joined: 11 Feb 2007
Last visit: 09 Jan 2009
Posts: 193
Own Kudos:
1,085
 [2]
Posts: 193
Kudos: 1,085
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
bmwhype2
Joined: 21 Jan 2007
Last visit: 08 Mar 2010
Posts: 1,338
Own Kudos:
Given Kudos: 4
Location: New York City
Posts: 1,338
Kudos: 5,367
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ricokevin
5x + 10y = 460
x > y

Pick an easy number to work with.
suppose x=30.
Then you have 150.
You need another 310 and that means you need y=31 which is greater than x.

Therefore, x > 30.

The only answer choice where x > 30 is if x = 32.

A is the answer.


hmm, never struck me to use plugging in while solving it algebraically.
User avatar
ggarr
Joined: 12 Jun 2006
Last visit: 20 Mar 2010
Posts: 263
Own Kudos:
Given Kudos: 1
Posts: 263
Kudos: 772
Kudos
Add Kudos
Bookmarks
Bookmark this Post
also, C and E won't work b/c when multiplied by 5 they give integer 5 in the units digit. subtracting xx5 from 460 will give you xx5. xx5/10 = integer.5.
User avatar
kevincan
User avatar
GMAT Instructor
Joined: 04 Jul 2006
Last visit: 18 Apr 2022
Posts: 958
Own Kudos:
720
 [1]
Given Kudos: 6
Location: Madrid
 Q51  V50
Posts: 958
Kudos: 720
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bmwhype2
Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
(A) 32
(B) 30
(C) 29
(D) 28
(E) 27


If she had an equal number of each, , she could have 30 of each for a total of $450, and another 2 fivers to make $460. TOTAL = 32. Note that all other choices would give less than $450.
User avatar
jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
Posts: 1,316
Own Kudos:
2,723
 [2]
Given Kudos: 355
Concentration: Finance
Posts: 1,316
Kudos: 2,723
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
I took way too long for this one, but should be pretty straightforward.

First thing I did, simplify x + 2y = 92.
Then we also have x>y

From the first equation, y= 46-x/2

So we replace in the inequality:

x>46-x/2
3x/2>46
x>92/3
x>30.6

Since 'x' has to be an integer then x=32.

Answer is (A)
User avatar
sarahrs
User avatar
MBA Blogger
Joined: 13 Apr 2013
Last visit: 10 Mar 2015
Posts: 118
Own Kudos:
Given Kudos: 9
Concentration: General Management, Nonprofit
GMAT 1: 510 Q29 V31
GMAT 2: 590 Q32 V38
WE:Research (Non-Profit and Government)
GMAT 2: 590 Q32 V38
Posts: 118
Kudos: 44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
OK so there is a 2:1 ratio between 5 and 10 dollar notes. This means that the answer choice can only be even.
so that's A, B or D.

Test b: number of 5 dollar notes equal 30. total revenue=150. To make up to 460 total, you need 31 ten dollar notes.
Since there is a greater number of $10 dollar notes than $5 dollar notes. Requirement not met.
We also know that D is wrong now...as it would give more $10 dollar notes than $5. Therefore A must be the right choice.
User avatar
gracie
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,035
Own Kudos:
1,861
 [1]
Given Kudos: 27
Posts: 1,035
Kudos: 1,861
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bmwhype2
Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?

(A) 32
(B) 30
(C) 29
(D) 28
(E) 27

let x=least possible number of fives
5x+10(x-1)=460
x=31.3 :(
5x+10(x-2)=460
x=32 :-D
A
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Jul 2025
Posts: 21,112
Own Kudos:
26,168
 [1]
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,112
Kudos: 26,168
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
bmwhype2
Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?

(A) 32
(B) 30
(C) 29
(D) 28
(E) 27

We can create the following equation in which f = the number of 5-dollar bills and t = the number of 10-dollar bills.

5f + 10t = 460

f + 2t = 92

If the number of 5-dollar bills and the number of 10-dollar bills are equal, i.e., f = t, then we have:

f + 2f = 92

3f = 92

f = 30⅔

Since f, the number of 5-dollar bills, must be a whole number, and f > t, f should be at least 31. Let’s check whether f can be 31t:

If f = 31, then 31 + 2t = 92 → 2t = 61 → t = 30.5. However, t must be whole number also, so f can’t be 31.

Now let’s check if f can be 32:

If f = 32, then 32 + 2t = 92 → 2t = 60 → t = 30. We see that t is a whole number and f > t. So, the least possible value of f is 32.

Answer: A
User avatar
dave13
Joined: 09 Mar 2016
Last visit: 23 Nov 2024
Posts: 1,114
Own Kudos:
Given Kudos: 3,851
Posts: 1,114
Kudos: 1,087
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
bmwhype2
Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?

(A) 32
(B) 30
(C) 29
(D) 28
(E) 27

Given that:
5x+10y=460 --> 10y=460-5x;
x>y --> 10x>10y.

10x>460-5x --> 15x>460 --> x>30.something --> x=32.

Answer: A.

if there are 32 FIVES, 32*5 = 160 then since 10ns are fewer then 5, it means 10ns must be fewer.... :) iron logic :lol: if so then 31*10 = 310 +160 =470 WTM :? whats the matter :)
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,412
Own Kudos:
Posts: 37,412
Kudos: 1,013
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
102582 posts
PS Forum Moderator
695 posts