Find all School-related info fast with the new School-Specific MBA Forum

It is currently 20 Oct 2014, 13:33

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A paint store makes peach paint according to the formula

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 22 Jan 2012
Posts: 90
Location: India
Concentration: General Management, Technology
GMAT 1: Q39 V29
GPA: 3.3
WE: Engineering (Consulting)
Followers: 5

Kudos [?]: 53 [1] , given: 7

A paint store makes peach paint according to the formula [#permalink] New post 22 Mar 2012, 01:28
1
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (02:48) correct 31% (01:29) wrong based on 67 sessions
A paint store makes peach paint according to the formula above. The numbers of gallons of white and yellowpaint used in a batch of peach paint are always each an integer. If the store ownerwants to make the smallest batch of peach paint possible, how many gallons of red are needed?

A. 1/4
B. 1
C. 3 3/4
D. 5
E. 9
[Reveal] Spoiler: OA

Attachments

paint form.JPG
paint form.JPG [ 6.97 KiB | Viewed 1988 times ]


_________________

Press +1 Kudos rather than saying thanks
which is more helpful infact..

Ill be posting good questions as many as I can...

Towards Success

Intern
Intern
avatar
Joined: 18 Mar 2012
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 13

Re: A paint store makes peach paint according to the formula [#permalink] New post 22 Mar 2012, 01:46
Littel confusing but got 3 3/4 as ans

whats the OA ??
Manager
Manager
avatar
Joined: 12 Mar 2012
Posts: 95
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Followers: 9

Kudos [?]: 266 [0], given: 22

Re: A paint store makes peach paint according to the formula [#permalink] New post 22 Mar 2012, 03:47
The question is quite confusing. Can somebody explain.
Senior Manager
Senior Manager
User avatar
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 292
Location: India
Concentration: General Management, Entrepreneurship
Followers: 1

Kudos [?]: 88 [0], given: 16

Reviews Badge
Re: A paint store makes peach paint according to the formula [#permalink] New post 22 Mar 2012, 04:05
Seriously what does the question want ?
_________________

Giving +1 kudos is a better way of saying 'Thank You'.

Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23347
Followers: 3601

Kudos [?]: 28642 [2] , given: 2807

Re: A paint store makes peach paint according to the formula [#permalink] New post 22 Mar 2012, 04:22
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
iwillcrackgmat wrote:
A paint store makes peach paint according to the formula above. The numbers of gallons of white and yellow paint used in a batch of peach paint are always each an integer. If the store ownerwants to make the smallest batch of peach paint possible, how many gallons of red are needed?

A) 1/4
(B) 1
(C) 3 3/4
(D) 5
(E) 9


White: 3/5 gallon
Red: 1/4 gallon
Yellow: 1/3 gallon

The ratio of the # of gallons of white and yellow paint needed is: (3/5)/(1/3)=9/5 --> W:Y=9:5. So, the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer should have 9 gallons of white and 5 gallons of yellow paint.

Now, if we use 9 gallons of white pain then the # of gallons of red paint we should use will be: W/R=(3/5)/(1/4)=12/5 --> 9/R=12/5 --> R=45/12=3.75 gallons.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 07 Dec 2011
Posts: 174
Location: India
Followers: 1

Kudos [?]: 32 [0], given: 24

Re: A paint store makes peach paint according to the formula [#permalink] New post 23 Mar 2012, 02:54
^ nice explanation. thanks.
Intern
Intern
avatar
Joined: 18 Mar 2012
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 13

Re: A paint store makes peach paint according to the formula [#permalink] New post 28 Mar 2012, 01:13
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23347
Followers: 3601

Kudos [?]: 28642 [0], given: 2807

Re: A paint store makes peach paint according to the formula [#permalink] New post 28 Mar 2012, 01:31
Expert's post
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4


That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 19 Aug 2011
Posts: 30
Concentration: Finance, Entrepreneurship
Followers: 0

Kudos [?]: 6 [0], given: 2

Re: A paint store makes peach paint according to the formula [#permalink] New post 28 Mar 2012, 05:08
Bunuel wrote:
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4


That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.


Bunuel, I did not quite get your explanation here. Can you pls elaborate?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23347
Followers: 3601

Kudos [?]: 28642 [0], given: 2807

Re: A paint store makes peach paint according to the formula [#permalink] New post 28 Mar 2012, 12:41
Expert's post
stevie1111 wrote:
Bunuel wrote:
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4


That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.


Bunuel, I did not quite get your explanation here. Can you pls elaborate?


What exactly didn't you get?

The smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer should have 9 gallons of white and 5 gallons of yellow paint, plus 3.75 gallons of red. Total: 9+5+3.75=17.75 liters.

You can check whether this is correct:
3/5+1/4+1/3=71/60 gallons;
Share of White: (3/5)/(71/60)=36/71;
Share of Red: (1/4)/(71/60)=15/71;
Share of Yellow: (1/3)/(71/60)=20/71;

In 17.75 liters.:
Amount of White: 36/71*17.75=9 liters;
Amount of Red: 15/71*17.75=3.75 liters;
Amount of Yellow: 20/71*17.75=5 liters.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 19 Aug 2011
Posts: 30
Concentration: Finance, Entrepreneurship
Followers: 0

Kudos [?]: 6 [0], given: 2

Re: A paint store makes peach paint according to the formula [#permalink] New post 29 Mar 2012, 01:10
Bunuel wrote:
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4


That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.


Apologies for not making my question clear. I did not understand why is the LCM method of arriving at 15 here as posted by 'm760' incorrect?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23347
Followers: 3601

Kudos [?]: 28642 [0], given: 2807

Re: A paint store makes peach paint according to the formula [#permalink] New post 29 Mar 2012, 01:33
Expert's post
stevie1111 wrote:
Bunuel wrote:
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4


That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.


Apologies for not making my question clear. I did not understand why is the LCM method of arriving at 15 here as posted by 'm760' incorrect?


m760 incorrectly assumed that 15 liters of paint was the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer. Actually it's 17.75 liters.

Please read this: a-paint-store-makes-peach-paint-according-to-the-formula-129492.html#p1063197 and this: a-paint-store-makes-peach-paint-according-to-the-formula-129492.html#p1066489

Also notice that given formula (White: 3/5 gallon, Red: 1/4 gallon, Yellow: 1/3 gallon), does not give us the shares of each paint for 1 gallon of peach paint since 3/5+1/4+1/3=71/60>1. Shares would be: W:R:Y=36:15:20 --> W:Y=36:20:9:5.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 27 May 2012
Posts: 213
Followers: 0

Kudos [?]: 47 [0], given: 209

Re: A paint store makes peach paint according to the formula [#permalink] New post 10 Jul 2012, 02:20
Bunuel wrote:
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always

So no of litres of red = 15 * 1/4 = 3 3/4


That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.


stevie111 wrote:
Apologies for not making my question clear. I did not understand why is the LCM method of arriving at 15 here as posted by 'm760' incorrect?


Bunuel wrote:
m760 incorrectly assumed that 15 liters of paint was the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer. Actually it's 17.75 liters.

Please read this: a-paint-store-makes-peach-paint-according-to-the-formula-129492.html#p1063197 and this: a-paint-store-makes-peach-paint-according-to-the-formula-129492.html#p1066489

Also notice that given formula (White: 3/5 gallon, Red: 1/4 gallon, Yellow: 1/3 gallon), does not give us the shares of each paint for 1 gallon of peach paint since 3/5+1/4+1/3=71/60>1. Shares would be: W:R:Y=36:15:20 --> W:Y=36:20:9:5.

Hope it's clear.


I think what m760 meant was that the smallest number possible so that white and yellow are integers is 15 ( Lcm of 3 and 5 )

anything lesser than 15 will not give white and yellow as integers and the smallest number which will give white and yellow as integers is 15.

so when white and yellow are minimum integers what is red? 3/5 : 1/4 : 1/3 = 9: 15/4 : 5

so as we can see red is 3.75

no where has m760 mentioned that the smallest amount of PEACH PAINT is 15 what he meant was the smallest number by which we have to multiply white( 1/3) and yellow ( 1/5) to make these integers is 15 . so when white and yellow are smallest integers what would be the value of red , red would be 15/4 = 3.75.

I think m760 way is another valid way of doing this sum
_________________

- Stne

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2790
Followers: 206

Kudos [?]: 42 [0], given: 0

Premium Member
Re: A paint store makes peach paint according to the formula [#permalink] New post 03 Oct 2013, 23:18
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

SVP
SVP
User avatar
Joined: 06 Sep 2013
Posts: 1725
Location: United States
Concentration: Finance
GMAT 1: 710 Q48 V39
WE: Corporate Finance (Investment Banking)
Followers: 14

Kudos [?]: 189 [0], given: 293

GMAT ToolKit User
Re: A paint store makes peach paint according to the formula [#permalink] New post 22 Nov 2013, 07:52
iwillcrackgmat wrote:
A paint store makes peach paint according to the formula above. The numbers of gallons of white and yellowpaint used in a batch of peach paint are always each an integer. If the store ownerwants to make the smallest batch of peach paint possible, how many gallons of red are needed?

A. 1/4
B. 1
C. 3 3/4
D. 5
E. 9


Start by finding the LCM of the three numbers which is 60
Then you will have 12,15,20

Your only restriction are White and Yellow to be integers so keep reducing until you wnd up with 3:15/4:5

So C is your answer
Cheers!
J :)

Consider providing Kudos if it helps
Re: A paint store makes peach paint according to the formula   [#permalink] 22 Nov 2013, 07:52
    Similar topics Author Replies Last post
Similar
Topics:
2 At Deluxe paint store, Fuchsia paint is made by mixing aparnaharish 2 10 Aug 2013, 01:57
3 Experts publish their posts in the topic When storing Renaissance oil paintings, museums conform to abhi758 5 07 Oct 2009, 06:41
1 When storing Renaissance oil paintings, museums conform to gurpreet07 16 09 Sep 2009, 08:42
19 Experts publish their posts in the topic Museums that house Renaissance oil paintings typically store aurobindo 55 31 Jan 2007, 06:21
When storing Renaissance oil paintings, museums conform to ricokevin 8 24 Apr 2007, 05:08
Display posts from previous: Sort by

A paint store makes peach paint according to the formula

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.