NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 18:18 It is currently 23 Apr 2024, 18:18
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

Mary has $3,60 in nickels, dimes and quarters in her purse...

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
EBITDA
Manager
Manager
Joined: 24 May 2016
Posts: 122
Own Kudos [?]: 421 [2]
Given Kudos: 33
Send PM
Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink] New post   28 May 2016, 15:08
2
Bookmarks
00:00
A
B
C
D
E

Difficulty:

85% (hard)

Question Stats:

46% (02:00) correct 54% (02:00) wrong based on 112 sessions
Hide Show timer Statistics
Mary has $3,60 in nickels, dimes and quarters in her purse. How many dimes does she have (in her purse)?

1) The ratio of quarters to dimes to nickels is 4:5:6.
2) Twice the number of dimes equals the number of nickels plus five times the number of quarters.

I can guess how much is a quarter, but are we suposed to know how much is a nickel and a dime?

That would be very unfair.

Cheers.
ShowHide Answer
Official Answer
D
User avatar
adiagr
Manager
Manager
Joined: 18 Jan 2010
Posts: 210
Own Kudos [?]: 997 [2]
Given Kudos: 9
Send PM
Re: Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink] New post   28 May 2016, 19:01
1
Kudos
1
Bookmarks
EBITDA wrote:
Mary has $3,60 in nickels, dimes and quarters in her purse. How many dimes does she have (in her purse)?

1) The ratio of quarters to dimes to nickels is 4:5:6.
2) Twice the number of dimes equals the number of nickels plus five times the number of quarters.

I can guess how much is a quarter, but are we suposed to know how much is a nickel and a dime?

That would be very unfair.

Cheers.


No point in getting upset.

A Dollar has 100 cents. Quarter= 25 cents. Dime = 10 cents. Nickel = 5 cents.

Statement 1
Q:D:N = 4:5:6
4x:5x:6x

4x(0.25)+5x(0.10)+6x(0.05) = 360
x+0.5 x+0.3x = 360
1.8x = 360
x = 200

Dimes : 5x = 1000 (We dont need to calculate)
Sufficient

Statement 2

Twice the number of dimes equals the number of nickels plus five times the number of quarters.

2d = n+5q

q(0.25)+d(0.10)+n(0.05) = 360
0.05(n+5q)+0.10d = 360
0.10 d + 0.10 d = 360
d can be calculated.
Sufficient

D is the answer.
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11161
Own Kudos [?]: 31870 [0]
Given Kudos: 290
Send PM
Reviews Badge
Re: Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink] New post   28 May 2016, 23:03
Expert Reply
EBITDA wrote:
Mary has $3,60 in nickels, dimes and quarters in her purse. How many dimes does she have (in her purse)?

1) The ratio of quarters to dimes to nickels is 4:5:6.
2) Twice the number of dimes equals the number of nickels plus five times the number of quarters.

I can guess how much is a quarter, but are we suposed to know how much is a nickel and a dime?

That would be very unfair.

Cheers.


Hi,

It may be unfair to expect students to know this and most likely in ACTUALS, the values will be given..

But here you do not require to know the value for statement I but yes for statement II, it is required...

let the nickels, dime and quarter be of value n,d and q AND be x,y and z in number
so xn+yd+zq = 360......
we require to know x,y and z to answer

lets see the statements--



1) The ratio of quarters to dimes to nickels is 4:5:6.
since all three are in some ratio, say commom term = t..
x = 4t...........y=5t...........z=6t...
so by substituting above we can find value of t from xn+yd+zq = 360......
and then x,y and z can be found
Suff

2) Twice the number of dimes equals the number of nickels plus five times the number of quarters.
2y=x+5z....
here we require to know nickel =.05$, dime = 0.1$ and quarter = 0.25$..
and \(xn+yd+zq = 360........ 0.05x+0.1y+025z = 360.............5x+10y+25z=36000............x+2y+5z = 7200...........\\
2y+2y=7200\)
Y can be found..
suff
User avatar
B
EBITDA
Manager
Manager
Joined: 24 May 2016
Posts: 122
Own Kudos [?]: 421 [1]
Given Kudos: 33
Send PM
Re: Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink] New post   29 May 2016, 02:39
1
Kudos
Thank you for your responses.

I would appreciate though that you would also solve the problems until the very end.

So:

0,05N + 0,10D + 0,25Q = 3,60

1) Q:D:N = 4:5:6

4x · 0,25 + 5x · 0,10 + 6x · 0,05 = 3,60
x + 0,5x + 0,3x = 3,60
1,8x = 3,60
x=2 ---> # of dimes = 5 · 2 = 10 ---> 8 Quarters : 10 Dimes : 12 Nickels ---> 2,00 + 1,00 + 0,60 = 3,60

Sufficient.

2) 2D = N + 5Q
0,05N + 0,10D + 0,25Q = 3,60
5N + 10D + 25Q = 360
10D + 5N + 25Q = 360

Since 2D = N + 5Q, 10D = 5N + 25Q

10D + 10D = 360; 20D = 360; # of dimes = D = 18.

Sufficient.

However, this solution contradicts the solution to the first statement, and the solution to each of the statements shall not contradict each other.

Could someone help?

Thank you so much.
User avatar
adiagr
Manager
Manager
Joined: 18 Jan 2010
Posts: 210
Own Kudos [?]: 997 [1]
Given Kudos: 9
Send PM
Re: Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink] New post   29 May 2016, 02:51
1
Kudos
EBITDA wrote:
Thank you for your responses.

I would appreciate though that you would also solve the problems until the very end.

So:

0,05N + 0,10D + 0,25Q = 3,60

1) Q:D:N = 4:5:6

4x · 0,25 + 5x · 0,10 + 6x · 0,05 = 3,60
x + 0,5x + 0,3x = 3,60
1,8x = 3,60
x=2 ---> # of dimes = 5 · 2 = 10 ---> 8 Quarters : 10 Dimes : 12 Nickels ---> 2,00 + 1,00 + 0,60 = 3,60

Sufficient.

2) 2D = N + 5Q
0,05N + 0,10D + 0,25Q = 3,60
5N + 10D + 25Q = 360
10D + 5N + 25Q = 360

Since 2D = N + 5Q, 10D = 5N + 25Q

10D + 10D = 360; 20D = 360; # of dimes = D = 18.

Sufficient.

However, this solution contradicts the solution to the first statement, and the solution to each of the statements shall not contradict each other.

Could someone help?

Thank you so much.



Questions require a unique value. But not exactly same value.

Please cross-check the applicability of the statement: "solution to each of the statements shall not contradict each other" . This might be applicable to solution of inequalities.

By the way, I differ from you observation that we need to solve these question (where unique result can be obtained) to the very end and then check values. That would not be a recommended strategy, considering that time availability is an issue in Quant section.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32629
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink] New post   23 Aug 2023, 07:54
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: Mary has $3,60 in nickels, dimes and quarters in her purse... [#permalink]
23 Aug 2023, 07:54
Moderator:
Bunuel
Math Expert
92883 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