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

 It is currently 16 Oct 2019, 01:12

### 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

# The only contents of a parcel are 25 photographs and 30 nega

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58372
The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

10 Feb 2014, 00:32
1
2
00:00

Difficulty:

5% (low)

Question Stats:

84% (01:27) correct 16% (01:26) wrong based on 344 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?

(1) The weight of each photograph is 3 times the weight of each negative.
(2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce.

Data Sufficiency
Question: 84
Category: Algebra Simultaneous equations
Page: 158
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 58372
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

10 Feb 2014, 00:32
SOLUTION

The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?

(1) The weight of each photograph is 3 times the weight of each negative --> p = 3n --> the total weight = 25*(3n) + 30n. Not sufficient.

(2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce --> p + 2n = 1/3. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns: p = 3n and p + 2n = 1/3, thus we can solve for p and n and get the value of 25*(3n) + 30n. Sufficient.

_________________
Director
Joined: 25 Apr 2012
Posts: 661
Location: India
GPA: 3.21
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

Updated on: 10 Feb 2014, 17:27
1
The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?

(1) The weight of each photograph is 3 times the weight of each negative.
(2) The total weight of 1 of the photographs and 2 of the negatives is i ounce.

Sol: let the weight of 1 photograph be a ounce and that of negatives be b ounce so we need to find 25a+30b

St1 says a=3b is not enough cause weight of negative can be anything so not sufficient. Ans choice A &D ruled out

St2 says a+2b=1 ounce. It's difficult to get individual values

On combining we get a=3b and a+2b=1

We can solve for a and b

So ans is C

Just for information cause we need not find values
5b=1 so b=1/5 ounce and a=1/15 ounce
_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Originally posted by WoundedTiger on 10 Feb 2014, 10:32.
Last edited by WoundedTiger on 10 Feb 2014, 17:27, edited 1 time in total.
Intern
Joined: 18 Feb 2013
Posts: 29
GMAT 1: 710 Q49 V38
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

10 Feb 2014, 16:11
1
The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?
(1) The weight of each photograph is 3 times the weight of each negative.
(2) The total weight of 1 of the photographs and 2 of the negatives is i ounce.

What is 25P+30N?
Statement 1: 1P=3N. Not sufficient
Statement 2: 1P+2N = 1 ounce. Not sufficient

C. We can solve using both statements.
Intern
Joined: 30 Jan 2014
Posts: 17
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

10 Feb 2014, 16:37
1
Theres a little mistake. St(2) should say: The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce.

Lets call the weight of the photographs "P" and negatives "N"

St(1) dosent give us much. Just that $$P=3N$$. Insufficient.
St(2) tells us that $$P+2N=1/3$$. Also Insufficient.

Putting them together we get: $$3N+2N=1/3$$
So we can find N and P

Ans is C.
_________________
Please +1 KUDO if my post helps. Thank you.
Math Expert
Joined: 02 Sep 2009
Posts: 58372
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

17 Feb 2014, 01:43
SOLUTION

The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?

(1) The weight of each photograph is 3 times the weight of each negative --> p = 3n --> the total weight = 25*(3n) + 30n. Not sufficient.

(2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce --> p + 2n = 1/3. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns: p = 3n and p + 2n = 1/3, thus we can solve for p and n and get the value of 25*(3n) + 30n. Sufficient.

_________________
Retired Moderator
Joined: 19 Mar 2014
Posts: 922
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

29 Jun 2017, 14:53
The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?

(1) The weight of each photograph is 3 times the weight of each negative.

$$p = 3n$$

$$25(3n) + 30n = 75n + 30n = 105n$$

As we are not aware of the value of n we cannot determine the total weight.

Hence, (1) =====> is NOT SUFFICIENT

(2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce.

$$1p + 2n = \frac{1}{3}$$

We still cannot determine the value of total weight as we are not aware of the values of p & n

Hence, (2) =====> is NOT SUFFICIENT

Combining (1) & (2)

Substituting the value obtained from (1) in (2) should give us total weight.

Hence, cobnined (1) & (2) =====> is SUFFICIENT

_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Non-Human User
Joined: 09 Sep 2013
Posts: 13161
Re: The only contents of a parcel are 25 photographs and 30 nega  [#permalink]

### Show Tags

07 Jun 2019, 16:32
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.
_________________
Re: The only contents of a parcel are 25 photographs and 30 nega   [#permalink] 07 Jun 2019, 16:32
Display posts from previous: Sort by