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 paint store makes peach paint according to the formula [#permalink]

Show Tags

22 Mar 2012, 02:28

1

This post received KUDOS

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

69% (02:38) correct
31% (01:40) wrong based on 102 sessions

HideShow timer Statistics

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 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?

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.

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

28 Mar 2012, 02:13

1

This post received KUDOS

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

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.
_________________

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

28 Mar 2012, 06:08

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?

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.
_________________

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

29 Mar 2012, 02:10

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?

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.

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.

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

10 Jul 2012, 03:20

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.

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
_________________

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

04 Oct 2013, 00:18

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.
_________________

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

22 Nov 2013, 08:52

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

Re: A paint store makes peach paint according to the formula [#permalink]

Show Tags

11 Sep 2016, 06:02

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.
_________________

After days of waiting, sharing the tension with other applicants in forums, coming up with different theories about invites patterns, and, overall, refreshing my inbox every five minutes to...

I was totally freaking out. Apparently, most of the HBS invites were already sent and I didn’t get one. However, there are still some to come out on...

In early 2012, when I was working as a biomedical researcher at the National Institutes of Health , I decided that I wanted to get an MBA and make the...