GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 Feb 2020, 01:33

### 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

### Show Tags

Updated on: 10 Jul 2019, 03:59
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:32) correct 41% (01:30) wrong based on 170 sessions

### HideShow 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 Source: Nova GMAT Difficulty Level: 700 _________________ Originally posted by Bunuel on 28 May 2017, 02:35. Last edited by SajjadAhmad on 10 Jul 2019, 03:59, edited 1 time in total. Added Source Current Student Joined: 18 Aug 2016 Posts: 590 Concentration: Strategy, Technology GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50  [#permalink]

### Show Tags

28 May 2017, 02:42
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 _________________ We must try to achieve the best within us Thanks Luckisnoexcuse Senior SC Moderator Joined: 22 May 2016 Posts: 3708 Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50  [#permalink]

### Show Tags

28 May 2017, 10:16
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
_________________
Visit SC Butler, here! Get two SC questions to practice, whose links you can find by date.

Never doubt that a small group of thoughtful, committed citizens can change the world; indeed, it's the only thing that ever has. -- Margaret Mead
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4841
Location: India
GPA: 3.5
Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] ### Show Tags 28 May 2017, 10:41 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
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Senior Manager
Joined: 21 Mar 2016
Posts: 494

### Show Tags

09 Dec 2017, 07:33
2
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 RELATED VIDEO _________________ Test confidently with gmatprepnow.com Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 9467 Location: United States (CA) Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50  [#permalink]

### Show Tags

03 Oct 2019, 11:25
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 _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 181 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50   [#permalink] 03 Oct 2019, 11:25
Display posts from previous: Sort by