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

 It is currently 20 Apr 2019, 12:08

### 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

# If Erin, Katy and Jess have a total of \$60, how much money does Jess

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54376
If Erin, Katy and Jess have a total of \$60, how much money does Jess  [#permalink]

### Show Tags

03 Sep 2017, 05:35
00:00

Difficulty:

35% (medium)

Question Stats:

89% (01:08) correct 11% (01:02) wrong based on 53 sessions

### HideShow timer Statistics

If Erin, Katy and Jess have a total of \$60, how much money does Jess have?

(1) Jess has twice as much money as Katy and 2/3 as much as Erin.
(2) Jess has half the total amount of money that Katy and Erin have combined.

_________________
Intern
Joined: 25 Mar 2016
Posts: 40
Location: India
Concentration: Finance, General Management
WE: Other (Other)
Re: If Erin, Katy and Jess have a total of \$60, how much money does Jess  [#permalink]

### Show Tags

04 Sep 2017, 09:46
Bunuel wrote:
If Erin, Katy and Jess have a total of \$60, how much money does Jess have?

(1) Jess has twice as much money as Katy and 2/3 as much as Erin.
(2) Jess has half the total amount of money that Katy and Erin have combined.

Let Jess have"J" money, Katy have "K"and Erin have "E"

Then,

E+J+K= 60

From statement 1 we can have

J=2K
Therefore, k=J/2

Similarly we have E= 3/2*J

So combining these we can find the value of J

From Statement 2 We have

J=1/2(E+K)

Therefore, E+K = J

So now we can find the value of J

Intern
Joined: 21 Mar 2017
Posts: 38
Location: Zimbabwe
Concentration: General Management, Entrepreneurship
GMAT 1: 680 Q45 V38
GMAT 2: 750 Q49 V42
GPA: 3.3
WE: Accounting (Accounting)
Re: If Erin, Katy and Jess have a total of \$60, how much money does Jess  [#permalink]

### Show Tags

04 Sep 2017, 09:55
The key thing to spot here is that both statements describe the amounts that each person has in relation to each other and since the total amount is provided in the original question stem, we know that both statements are sufficient.

_________________
Kudos if you like my response please
Intern
Joined: 10 Jul 2017
Posts: 28
Re: If Erin, Katy and Jess have a total of \$60, how much money does Jess  [#permalink]

### Show Tags

04 Sep 2017, 11:12
Bunuel wrote:
If Erin, Katy and Jess have a total of \$60, how much money does Jess have?

(1) Jess has twice as much money as Katy and 2/3 as much as Erin.
(2) Jess has half the total amount of money that Katy and Erin have combined.

There are three unknowns posted by the question. Those are the money possessed by each one of Erin, Katy and Jess.
So, in oder to find out the amount that Jess has, we should either have each individual values of atleast two variables or we know the relation of two variable with any one.

Both statements give us the relationship among the three variables. We can substitute a single variable and find out the value.

Hence, answer will be D. Each statement alone is sufficient.

Sent from my iPhone using GMAT Club Forum mobile app
Re: If Erin, Katy and Jess have a total of \$60, how much money does Jess   [#permalink] 04 Sep 2017, 11:12
Display posts from previous: Sort by