NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 07:26 It is currently 28 Apr 2024, 07:26
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Cathy has equal numbers of nickels and quarters worth a total of $7.50

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92973
Own Kudos [?]: 619636 [13]
Given Kudos: 81613
Send PM
CAT Tests Forum Quiz Mode
Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   Updated on: 08 Jul 2023, 01:34
13
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

60% (01:30) correct 40% (01:22) wrong based on 317 sessions
Hide Show timer Statistics
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)

(A) 20
(B) 25
(C) 50
(D) 62
(E) 70
ShowHide Answer
Official Answer
C

Originally posted by Bunuel on 28 May 2017, 03:35.
Last edited by Bunuel on 08 Jul 2023, 01:34, edited 2 times in total.
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29978 [3]
Given Kudos: 799
Location: Canada
Send PM
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   Updated on: 04 Jun 2020, 07:09
3
Kudos
Expert Reply
Top Contributor
Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)

(A) 20
(B) 25
(C) 50
(D) 62
(E) 70


Another approach is the test the answer choices.
When doing so, it's best to start with the middlemost answer choice.

C) 50
If there are 50 coins in total, and half are nickels and half are quarters, then we have 25 nickels and 25 quarters.
25 nickels is worth $1.25 (since 25 x $0.05 = $1.25)
25 quarters is worth $6.25 (since 25 x $0.65 = $6.25)
TOTAL value = #1.25 + $6.25 = $7.50 (PERFECT!)\

Answer: C

Originally posted by BrentGMATPrepNow on 09 Dec 2017, 08:33.
Last edited by BrentGMATPrepNow on 04 Jun 2020, 07:09, edited 1 time in total.
General Discussion
User avatar
P
Luckisnoexcuse
Current Student
Joined: 18 Aug 2016
Posts: 531
Own Kudos [?]: 577 [0]
Given Kudos: 198
Concentration: Strategy, Technology
Schools: Kenan-Flagler '20 (M)
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Send PM
GMAT ToolKit User Reviews Badge
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   28 May 2017, 03:42
we know that the value of quarters should be higher than half ..by number crunching if we have 25 coins of each ( 25 cents making 6.25 $ and 25 nickels making 1.25 $ ) total is 7.50$ hence total coins would be 50 option C


Sent from my iPhone using GMAT Club Forum
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35501 [1]
Given Kudos: 9464
Send PM
CAT Tests
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   28 May 2017, 11:16
1
Kudos
Expert Reply
Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)

(A) 20
(B) 25
(C) 50
(D) 62
(E) 70

Number of nickels and quarters is equal, so

Let C = 1/2 of total number of coins

(Equal #s of coins times different values of coins, then summed, given a total of $7.50, will yield # of coins)

.05C + .25C = 7.50 ==>

5C + 25C = 750

30 C = 750, and

C = 25

TOTAL coins? C = 1/2 of total, so 2C = 50 coins total
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4691 [2]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   28 May 2017, 11:41
1
Kudos
1
Bookmarks
Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)

(A) 20
(B) 25
(C) 50
(D) 62
(E) 70


\(\frac{5}{100}*n + \frac{25}{100}n = 7.50\)

Or, \(30n = 750\)

Or, n = 25

So, Total number of coins with Cathy is 25*2 = 50 coins...

Thus, answer must be (C) 50
User avatar
S
mohshu
Senior Manager
Senior Manager
Joined: 21 Mar 2016
Posts: 448
Own Kudos [?]: 117 [0]
Given Kudos: 103
Send PM
Reviews Badge
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   29 May 2017, 03:44
5x + 25 X = 750
30 x = 750
x= 25,,

total number of coins = 25 + 25 = 50.. ans C
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18768
Own Kudos [?]: 22073 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   03 Oct 2019, 12:25
Expert Reply
Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)

(A) 20
(B) 25
(C) 50
(D) 62
(E) 70

Source: Nova GMAT
Difficulty Level: 700


We can create the equation:

0.05n + 0.25n = 7.5

5n + 25n = 750

30n = 750

n = 25

So, she has a total of 25 + 25 = 50 coins.

Answer: C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32718
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] New post   08 Jul 2023, 01:29
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.
GMAT Club Bot
gmatclubot
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink]
08 Jul 2023, 01:29
Moderators:
Bunuel
Math Expert
92973 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions