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

 It is currently 16 Oct 2019, 19:57

### 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

# A machine that produces silicon bottle stoppers, makes 36 stoppers wei

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58381
A machine that produces silicon bottle stoppers, makes 36 stoppers wei  [#permalink]

### Show Tags

18 Oct 2016, 02:30
00:00

Difficulty:

25% (medium)

Question Stats:

80% (02:08) correct 20% (02:44) wrong based on 92 sessions

### HideShow timer Statistics

A machine that produces silicon bottle stoppers, makes 36 stoppers weighing 6y grams each, and 9x stoppers weighing 12 grams each. What is the average weight (arithmetic mean) per stopper?

A. (36y + 18x)/(y + 2)
B. (18y + 9x)/4
C. (36x)/(2y + 3x)
D. (24y + 12x)/(4 + x)
E. 6 + 3y

_________________
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3341
Location: India
GPA: 3.12
Re: A machine that produces silicon bottle stoppers, makes 36 stoppers wei  [#permalink]

### Show Tags

18 Oct 2016, 04:21
The total number silicon stoppers weighing 6y grams is 36 and 12 grams is 9x

Average weight = (36*6y + 9x*12)/36+9x
= (9(24x + 12y))/(9(4+x))
= 24x+12y/4+x (Option D)
_________________
You've got what it takes, but it will take everything you've got
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: A machine that produces silicon bottle stoppers, makes 36 stoppers wei  [#permalink]

### Show Tags

18 Oct 2016, 06:12
Bunuel wrote:
A machine that produces silicon bottle stoppers, makes 36 stoppers weighing 6y grams each, and 9x stoppers weighing 12 grams each. What is the average weight (arithmetic mean) per stopper?

A. (36y + 18x)/(y + 2)
B. (18y + 9x)/4
C. (36x)/(2y + 3x)
D. (24y + 12x)/(4 + x)
E. 6 + 3y

36 stoppers weighing 6y grams each and 9x stoppers weighing 12 grams each

i.e. Total Weight = 36*6y + 9x*12 = 216y + 108x
Total No. of stoppers = 36 + 9x

average weight (arithmetic mean) per stopper = Total Weight / Total No. of Stoppers = (216y + 108x) / (36 + 9x)
average weight (arithmetic mean) per stopper = 9 (24y + 12x) / 9(4 + x) = (24y + 12x) / (4 + x)

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4782
Location: India
GPA: 3.5
Re: A machine that produces silicon bottle stoppers, makes 36 stoppers wei  [#permalink]

### Show Tags

18 Oct 2016, 07:32
Bunuel wrote:
A machine that produces silicon bottle stoppers, makes 36 stoppers weighing 6y grams each, and 9x stoppers weighing 12 grams each. What is the average weight (arithmetic mean) per stopper?

A. (36y + 18x)/(y + 2)
B. (18y + 9x)/4
C. (36x)/(2y + 3x)
D. (24y + 12x)/(4 + x)
E. 6 + 3y

$$\frac{(36*6y + 9x*12)}{( 36 + 9x)}$$

$$= \frac{9(4*6y + x*12)}{9(4 + x)}$$

$$= \frac{(4*6y + x*12)}{(4 + x)}$$

$$= \frac{(24y + 12x)}{(4 + x)}$$

Hence answer will be D. $$\frac{(24y + 12x)}{(4 + x)}$$
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Non-Human User
Joined: 09 Sep 2013
Posts: 13208
Re: A machine that produces silicon bottle stoppers, makes 36 stoppers wei  [#permalink]

### Show Tags

16 Oct 2018, 10:59
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: A machine that produces silicon bottle stoppers, makes 36 stoppers wei   [#permalink] 16 Oct 2018, 10:59
Display posts from previous: Sort by