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

It is currently 18 Jun 2019, 20:09

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

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

 
Manager
Manager
avatar
G
Joined: 07 Jun 2018
Posts: 52
Location: United States
A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 25 Dec 2018, 14:11
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (03:16) correct 37% (03:00) wrong based on 37 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: 7757
Re: A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 25 Dec 2018, 19:41
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
_________________
RC Moderator
User avatar
V
Joined: 24 Aug 2016
Posts: 804
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, 19:48
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: 2888
Re: A coin bank with nickels, dimes and quarters contains coins worth $35.  [#permalink]

Show Tags

New post 26 Dec 2018, 10:43

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

_________________
GMAT Club Bot
Re: A coin bank with nickels, dimes and quarters contains coins worth $35.   [#permalink] 26 Dec 2018, 10:43
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  


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