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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

27 Jun 2007, 17:26

26

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

71% (03:49) correct
29% (03:15) wrong based on 538 sessions

HideShow timer Statistics

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

27 Jun 2007, 17:55

1

This post received KUDOS

dred wrote:

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold? 10 20 30 32 34

A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

22 Jan 2008, 02:09

1

This post received KUDOS

5

This post was BOOKMARKED

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

(A) 10 (B) 20 (C) 30 (D) 32 (E) 34

Last edited by Bunuel on 27 Sep 2014, 12:47, edited 1 time in total.

Renamed the topic, edited the question, added the OA and moved to PS forum.

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

22 Jan 2008, 02:34

3

This post received KUDOS

3

This post was BOOKMARKED

GGUY wrote:

Taken From MGMAT # 3

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

22 Jan 2008, 13:10

sondenso wrote:

GGUY wrote:

Taken From MGMAT # 3 A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

27 Sep 2014, 10:27

1

This post was BOOKMARKED

hey can any1 plz tell me .. if ques says that no 20 ounce bottles are sold.. then y r we considering "20*12" while calculating the new ratio.. wats the meaning and the use of that line above.." no 20 ounce bottles are sold" y can`t we directly put 0 bottles for 20 ounces..

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

(A) 10 (B) 20 (C) 30 (D) 32 (E) 34

hey can any1 plz tell me .. if ques says that no 20 ounce bottles are sold.. then y r we considering "20*12" while calculating the new ratio.. wats the meaning and the use of that line above.." no 20 ounce bottles are sold" y can`t we directly put 0 bottles for 20 ounces..

y can`t we go directly for ..

25=(20(0)+40(x))/x..

confused..

No. The question asks about the average weight of bottles which are not sold.

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

(A) 10 (B) 20 (C) 30 (D) 32 (E) 34

The current average of 20 (35 - 15) and 40-ounce (40 - 5) bottles is 35, thus there must be 3 times as many 40-ounce bottles as 20-ounce bottles. Since there are total of 48 bottles, then there must be 12 20-ounce bottles and 36 40-ounce bottles.

Now, we need to sell ONLY 40-ounce bottles so that the average to become 25. Same way, 25 is 5 away from 20 and 15 away from 40, so after selling some number of 40-ounce bottles, there must be 3 times as many 20-ounce bottles as 40-ounce bottles. So, there must be 12 20-ounce bottles and 12/3 = 4 40-ounce bottles.

Therefore, 36 - 4 = 32 40-ounce bottles must be sold.

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

27 Sep 2014, 19:02

1

This post was BOOKMARKED

hi thanx for ur valuable answer but i`ll be glad if u could put it algebrically...that will be more easier for me to understand.

also, plz tell me wat is the point of "20 ounces bottles not sold" ... y r we still considering that while calculating the new ratio..it should be 0 ..huh..

hi thanx for ur valuable answer but i`ll be glad if u could put it algebrically...that will be more easier for me to understand.

also, plz tell me wat is the point of "20 ounces bottles not sold" ... y r we still considering that while calculating the new ratio..it should be 0 ..huh..

Algebraic ways are given in posts above.

As for your other question. I think you misunderstood the problem.

There are 12 20-ounce and 36 40-ounce bottles. The average volume of those 48 bottles is 35 ounces.

We need to find how many of 36 40-ounce bottles must be sold for the average volume of the remaining bottles to be reduced to 25 ounces.
_________________

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

08 Mar 2015, 00:03

1

This post received KUDOS

shreygupta3192 wrote:

hi thanx for ur valuable answer but i`ll be glad if u could put it algebrically...that will be more easier for me to understand.

also, plz tell me wat is the point of "20 ounces bottles not sold" ... y r we still considering that while calculating the new ratio..it should be 0 ..huh..

Shrey,

We can establish from question

here x is number of 20 ounce bottles , y is 40 ounce bottles x+y=48 20x+40y=1680

x=12,y=36 Coming to remaining part of question

Value of 20 ounce bottles will be 0 , if we consider the bottles sold.

20x+40z=25(x+z);

z = remaining bottles x=12 , no removal here 20*12+40(z)=25(12+z);z=4

if remaining is 4 ,then 36-4 were sold=32.

However Brunel's approach is good time saving approach.

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

09 Mar 2015, 20:47

Bunuel wrote:

shreygupta3192 wrote:

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

(A) 10 (B) 20 (C) 30 (D) 32 (E) 34

hey can any1 plz tell me .. if ques says that no 20 ounce bottles are sold.. then y r we considering "20*12" while calculating the new ratio.. wats the meaning and the use of that line above.." no 20 ounce bottles are sold" y can`t we directly put 0 bottles for 20 ounces..

y can`t we go directly for ..

25=(20(0)+40(x))/x..

confused..

No. The question asks about the average weight of bottles which are not sold.

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold?

(A) 10 (B) 20 (C) 30 (D) 32 (E) 34

The current average of 20 (35 - 15) and 40-ounce (40 - 5) bottles is 35, thus there must be 3 times as many 40-ounce bottles as 20-ounce bottles. Since there are total of 48 bottles, then there must be 12 20-ounce bottles and 36 40-ounce bottles.

Now, we need to sell ONLY 40-ounce bottles so that the average to become 25. Same way, 25 is 5 away from 20 and 15 away from 40, so after selling some number of 40-ounce bottles, there must be 3 times as many 20-ounce bottles as 40-ounce bottles. So, there must be 12 20-ounce bottles and 12/3 = 4 40-ounce bottles.

Therefore, 36 - 4 = 32 40-ounce bottles must be sold.

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

29 May 2015, 09:49

1

This post was BOOKMARKED

Quote:

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold? A.10 B.20 C.30 D.32 E.34

Let there be x 20 ounces bottles and y 40 ounces bottles. Now, x + y = 48 (Given)

Given average volume of all 48 bottles is 35 ounces. ==> (20*x+ 40*y)/48 = 35 ==> (20*x+ 40*y) = 35 * 48 -----(1)

Now let us assume k 40 ounces bottles are sold and then average volume of (48-k) bottles is 25. ==> (20*x+ 40*[y-k])/(48-k) = 25 ==> (20*x+ 40*y - 40*k) = 25* (48 - k) ==> (35 * 48) - 40*k = 25*48 - 25*k ==> 15*k = 480 ==> k = 32.

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

08 Jul 2015, 19:53

2

This post received KUDOS

dred wrote:

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold? 10 20 30 32 34

You can also resolve this question with weighted avg formula

20 40 \ / 35 / \ 15 5

Ratio : 3: 1 or we can say that 40 ounce bottles are three time as many as 20 ounce

so number of 40 ounce bottles are 36 and 20 ounce bottles are 12

next (20(12)+ 40x)/12+x = 25 -->where x is the remaining 40 ounce bottles

x= 4 i.e. 36-4=> 32 of 40 ounce bottles have been sold

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

07 Apr 2016, 11:55

email2vm wrote:

dred wrote:

A convenience store currently stocks 48 bottles of mineral water. The bottles have two sizes of either 20 or 40 ounces each. The average volume per bottle the store currently has in stock is 35 ounces. How many 40 ounce bottles must be sold for the average volume per bottle to be reduced to 25 ounces if no 20 ounce bottles are sold? 10 20 30 32 34

You can also resolve this question with weighted avg formula

20 40 \ / 35 / \ 15 5

Ratio : 3: 1 or we can say that 40 ounce bottles are three time as many as 20 ounce

so number of 40 ounce bottles are 36 and 20 ounce bottles are 12

next (20(12)+ 40x)/12+x = 25 -->where x is the remaining 40 ounce bottles

x= 4 i.e. 36-4=> 32 of 40 ounce bottles have been sold

another solution:

Ratio is 3:1 ==>36 bottles of 40 ounces and 12 bottles of 20 ounces

Re: A convenience store currently stocks 48 bottles of mineral water. The [#permalink]

Show Tags

08 Apr 2016, 13:39

let t=#20 oz bottles let f=#40 oz bottles x=#40 oz bottles that have to be sold equation 1: 20t+40f=(48)(35)=1680 oz equation 2: 20t+40f-40x=25(48-x) oz subtracting 2 from 1, 40x=480+25x x=32 40 oz bottles have to be sold

its taking a bit longer to solve using the algebraic approach.. Anyone with any other approach? Regards CC- Abhishek009 StoneCold

Hi, the other method would be weighted average method.. people have already used it above, still ill do it once again..

TWO steps..

first - initial numbers 20 and 40 avail and average is 35.. so \(\frac{# of 20}{# of 40} = \frac{40-35}{35-20} = \frac{1}{3}\) so # of 20 \(= \frac{1}{1+3} *48 =12\).. and # of 40 ounces = 48-12 = 36

second - 20 and 40 avail and average is 25.. so\(\frac{# of 20}{# of 40} = \frac{40-25}{25-20} =\frac{3}{1}\) so # of 20\(= \frac{3}{1+3} *x =12\), here we know # of 20 ounces remains constant.. so x= 16 and # of 40 ounces = 16-12 = 4.. now # of 40 ounces bottle sold = 36-4 = 32
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...