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

It is currently 19 Oct 2018, 19:21

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.

Close

Request Expert Reply

Confirm Cancel

A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50002
A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of  [#permalink]

Show Tags

New post 17 Sep 2018, 01:50
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:37) correct 19% (01:52) wrong based on 36 sessions

HideShow timer Statistics

A paint store mixes \(\frac{3}{4}\) pint of red paint and \(\frac{2}{3}\) pint of blue paint to make a new paint color called Perfectly Purple. How many pints of red paint would be needed to make 34 pints of Perfectly Purple paint?


A. 1.42

B. 18.0

C. 36.13

D. 47.5

E. 48.12

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3187
Location: India
GPA: 3.12
Premium Member CAT Tests
A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of  [#permalink]

Show Tags

New post 17 Sep 2018, 02:10
Bunuel wrote:
A paint store mixes \(\frac{3}{4}\) pint of red paint and \(\frac{2}{3}\) pint of blue paint to make a new paint color called Perfectly Purple. How many pints of red paint would be needed to make 34 pints of Perfectly Purple paint?


A. 1.42

B. 18.0

C. 36.13

D. 47.5

E. 48.12


The easiest way to solve this problem is to assume the size of a pint - Let the size be 12 units.

To make a pint of Perfectly Purple,
we will need \(\frac{3}{4}\) pint of Red paint or 9 units and \(\frac{2}{3}\) pint of Blue paint or 8 units.

We will need \(9\) units out of \(9+8 = 17\) units to be red paint to make the "Perfectly Purple" color

Therefore, to make 34 pints of Perfectly Purple color, we need \(\frac{9}{17} * 34 = 18\)(Option B) pints of Red paint.
_________________

You've got what it takes, but it will take everything you've got

CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 3020
Location: Canada
Re: A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of  [#permalink]

Show Tags

New post 17 Sep 2018, 08:12
1
Top Contributor
Bunuel wrote:
A paint store mixes \(\frac{3}{4}\) pint of red paint and \(\frac{2}{3}\) pint of blue paint to make a new paint color called Perfectly Purple. How many pints of red paint would be needed to make 34 pints of Perfectly Purple paint?


A. 1.42

B. 18.0

C. 36.13

D. 47.5

E. 48.12


We're told that the red and blue paints are mixed in the following ratio: red paint/blue paint = (3/4)/(2/3)
Let's first SIMPLIFY this ratio.

(3/4)/(2/3) = 3/4 x 3/2
= 9/8

So, red paint/blue paint = 9/8

So, for example, we might mix 9 pints of red paint with 8 pints of blue paint to get 17 pints of Perfectly Purple
Similarly we might mix 18 pints of red paint with 16 pints of blue paint to get 34 pints of Perfectly Purple
Voila!!

Answer: B

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

Intern
Intern
avatar
B
Joined: 26 Aug 2018
Posts: 7
GMAT ToolKit User
A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of  [#permalink]

Show Tags

New post 17 Sep 2018, 14:11
Red = 3/4 pint, Blue = 2/3 pint

Red + Blue = (9+8)/12 = 17/12 of Perfect Purple

How many Red + Blue we need to make 34 pints? 34/(17/12) = 24

So 24 * 3/4 (red) = 18

Answer B
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3896
Location: United States (CA)
Re: A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of  [#permalink]

Show Tags

New post 18 Sep 2018, 18:46
Bunuel wrote:
A paint store mixes \(\frac{3}{4}\) pint of red paint and \(\frac{2}{3}\) pint of blue paint to make a new paint color called Perfectly Purple. How many pints of red paint would be needed to make 34 pints of Perfectly Purple paint?


A. 1.42

B. 18.0

C. 36.13

D. 47.5

E. 48.12


Let x be the number of 3/4 pint of red paint and the number of 2/3 pint of blue paint needed to make the 34 pints of Perfectly Purple paint. We can create the equation:

(3/4)x + (2/3)x = 34

Multiplying by 12, we have:

9x + 8x = 408

17x = 408

x = 24

Thus, we would need 24 x 3/4 = 18 pints of red paint.

Alternate Solution:

We note that 3/4 + 2/3 = 17/12 pints of Perfectly Purple paint contains 3/4 pints of red paint. If we let x = the amount of red paint in 34 pints of Perfectly Purple paint, we can create a proportion and solve for x:

(3/4)/(17/12) = x/34

(3/4)*(12/17)*34 = x

x = 3 * 3 * 2 = 18

So, there are 18 pints of red paint in 34 pints of Perfectly Purple paint.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
User avatar
B
Joined: 15 Sep 2018
Posts: 23
Re: A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of  [#permalink]

Show Tags

New post 22 Sep 2018, 02:17
The total mixture (Perfectly Purple) will be given by the addition of red and blue paints:

\(\frac{3}{4}\ pint \ of\ red+\frac{2}{3}\ pint\ of\ blue=\frac{9}{12}+\frac{8}{12}=\frac{17}{12} \ pints \ of \ Perfect \ Purple\)

For 34 pints of Perfectly Purple, the number of red paint pints needed would be given by:

\(Red \ Pints=34 \ Perfectly \ purple \ pints \times \frac{\frac{3}{4}\ red\ pints}{\frac{17}{12}\ Perfectly\ Purple\ Pints} = 34 \times \frac{9}{17}=18\ pints\)

The final answer is .
GMAT Club Bot
Re: A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of &nbs [#permalink] 22 Sep 2018, 02:17
Display posts from previous: Sort by

A paint store mixes 3/4 pint of red paint of red paint and 2/3 pint of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.