GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Jan 2019, 05:57

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

A coin bank with nickels, dimes and quarters contains coins worth $35.

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

Hide Tags

 
Intern
Intern
avatar
S
Joined: 07 Jun 2018
Posts: 42
A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 25 Dec 2018, 13:11
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

67% (02:28) correct 33% (02:33) wrong based on 33 sessions

HideShow timer Statistics

A coin bank with nickels, dimes and quarters contains coins worth $35.80. If there are twice as many nickels as there are dimes, and 10 more quarters than dimes, how many nickels are there? (Note - 1 Nickel =5 cents, 1 dime = 10 cents and 1 quarter =25 cents)
a. 186
b. 148
c. 96
d. 55
e. 48
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7201
Re: A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 25 Dec 2018, 18:41
Jazzmin wrote:
A coin bank with nickels, dimes and quarters contains coins worth $35.80. If there are twice as many nickels as there are dimes, and 10 more quarters than dimes, how many nickels are there? (Note - 1 Nickel =5 cents, 1 dime = 10 cents and 1 quarter =25 cents)
a. 186
b. 148
c. 96
d. 55
e. 48


Let the numbers be nickels n, dime d and quarter q..
So total we have is 35.80$ or 3580 cents..
Now
n=2d,
q=10+d,
5n+10d+25q=3580
Substitute the values of n and q in terms of d in this equation..
5*2d+10d+25(10+d)=3580.......10d+10d+250+25d=3580
45d=3580-250=3330.....
\(d=\frac{3330}{45}=74\)
If d is 74, n is 2*d=2*74=148..
B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

RC Moderator
User avatar
D
Joined: 24 Aug 2016
Posts: 636
Location: Canada
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 25 Dec 2018, 18:48
Suppose there is x number of dimes.
Hence the number of nickels=2x and quarters=x+10
The eqn: 5*2x +10*x +25(x+10)=3580
or 45x+250=3580
or x=74
Thus 2x=148..........Hence Ans B
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2455
Re: A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 26 Dec 2018, 09:43

Solution



Given:
    • A coin bank with nickels, dimes and quarters contains coins worth $35.80
    • There are twice as many nickels as there are dimes, and 10 more quarters than dimes
    • 1 Nickel = 5 cents, 1 dime = 10 cents and 1 quarter = 25 cents

To find:
    • The number of nickels present in the coin bank

Approach and Working:
As we have both nickels and quarters expressed in terms of dimes, let us assume that the number of dimes is n.
    • Hence, the number of nickels = 2 x n = 2n
    • And, the number of quarters = 10 + n

The total value worth of all three types of coins = [n x 10 + 2n x 5 + (10 + n) x 25] cents = (10n + 10n + 25n + 250) cents = (45n + 250) cents

Therefore, we can write
    • 45n + 250 = 3580
    Or, 45n = 3580 – 250
    Or, 45n = 3330
    Or, n = 74

Therefore, the number of nickels = 74 x 2 = 148

Hence, the correct answer is option B.

Answer: B

Image

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

GMAT Club Bot
Re: A coin bank with nickels, dimes and quarters contains coins worth $35. &nbs [#permalink] 26 Dec 2018, 09:43
Display posts from previous: Sort by

A coin bank with nickels, dimes and quarters contains coins worth $35.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.