NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 04:39 It is currently 26 Apr 2024, 04:39
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619142 [8]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   16 May 2016, 02:46
1
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

80% (01:47) correct 20% (02:19) wrong based on 266 sessions
Hide Show timer Statistics
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11179
Own Kudos [?]: 31942 [5]
Given Kudos: 290
Send PM
Reviews Badge
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   16 May 2016, 03:04
3
Kudos
2
Bookmarks
Expert Reply
Bunuel wrote:
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint



Hi,

two ways-
1) based on choice-
water and paint are in ratio 1:1.. we have to make it 2:1.5 or 4:3..
so clearly paint has to be added to bring up the ratio of paint..
ONLY A and E are left

Quantity P:W is 3:3 it has to be converted to 4:3..
so clearly 1 liter of P is to be added
ans A

2) Proper method-
existing ratio = 3:3..
add y to convert to 4:3..
so \(\frac{3+y}{3}= \frac{4}{3}\)....
\(9+3y=12.................3y=12-9...................y=1\)
ans A
General Discussion
avatar
ronny123
Manager
Manager
Joined: 12 Jun 2015
Posts: 71
Own Kudos [?]: 70 [0]
Given Kudos: 104
Send PM
Reviews Badge
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   16 May 2016, 02:58
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint

Reqd. ratio = 2 : 1.5 i.e. 4 : 3 between paint and water respectively.
6 litres of paint which is half water(3 litres) and half paint (3 litres)

Right now the ratio is 1:1
Looking at the options,
A. Paint : Water = 4 : 3 which is the reqd. ratio . Correct Answer
B. Paint : Water = 3 : 4
C. Paint : Water = 4 : 3.5
D. Paint : Water = 3.5 : 4
E. Paint : Water = 3.5 : 3

Answer : A
User avatar
P
amanvermagmat
Retired Moderator
Joined: 22 Aug 2013
Posts: 1186
Own Kudos [?]: 2499 [0]
Given Kudos: 459
Location: India
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   25 May 2017, 11:12
Required ratio = Paint/Water = 2/1.5 = 4/3
Right now, paint = 3 litres and water = 3 litres

lets say 'x' litres of paint need to be added to make the desired ratio. Then we have:
(3+x)/3 = 4/3 Or 3+x = 4 or x = 1

Hence A answer
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1072
Own Kudos [?]: 1561 [0]
Given Kudos: 27
Send PM
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   Updated on: 04 Jul 2018, 11:12
Bunuel wrote:
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint


let p=litres of paint to be added
3+p=4/7*(6+p)
p=1 litre paint
A

Originally posted by gracie on 25 May 2017, 11:29.
Last edited by gracie on 04 Jul 2018, 11:12, edited 1 time in total.
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6276 [1]
Given Kudos: 1646
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   31 May 2017, 19:03
1
Kudos
Expert Reply
Bunuel wrote:
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint


We are given that the painter needs a ratio of paint to water of 2x : 1.5x.

However, he actually has 3 litres of paint and 3 litres of water, which make a ratio of 1 : 1. To make the correct ratio of paint to water, he must add more paint.

We can let n = the number of litres of paint he must add.

(3 + n)/3 = 2x/1.5x

(3 + n)/3 = 2/1.5

1.5(3 + n) = 6

4.5 + 1.5n = 6

1.5n = 1.5

n = 1

Thus, he needs to add 1 litre of paint.

Answer: A
User avatar
L
stne
SVP
SVP
Joined: 27 May 2012
Posts: 1680
Own Kudos [?]: 1424 [0]
Given Kudos: 632
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   04 Jul 2018, 03:09
Bunuel wrote:
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint



Hi Bunuel ,

Instead of using part to part , I am using part to whole , approach, why am I not getting the answer !

\(\frac{paint }{ Total \hspace{1mm}quantity}\)=\(\frac{2}{3.5}\) -> Required ratio
Finally after adding x liters of paint to 3 liters of paint already present the ratio of paint to total mixture is \(\frac{3+x}{6}\)

Hence equating the proportions \(\frac{2}{3.5}=\frac{3+x}{6}\)

x = \(\frac{3}{7}\)

Whys is x not coming to 1?
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14828
Own Kudos [?]: 64929 [1]
Given Kudos: 427
Location: Pune, India
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   05 Jul 2018, 23:19
1
Kudos
Expert Reply
stne wrote:
Bunuel wrote:
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint



Hi Bunuel ,

Instead of using part to part , I am using part to whole , approach, why am I not getting the answer !

\(\frac{paint }{ Total \hspace{1mm}quantity}\)=\(\frac{2}{3.5}\) -> Required ratio
Finally after adding x liters of paint to 3 liters of paint already present the ratio of paint to total mixture is \(\frac{3+x}{6}\)

Hence equating the proportions \(\frac{2}{3.5}=\frac{3+x}{6}\)

x = \(\frac{3}{7}\)

Whys is x not coming to 1?


Because once you add x litres of paint to the mix, the total mix becomes 6 + x litres.
Hence,

\(\frac{2}{3.5}=\frac{3+x}{6+x}\)
x = 1
User avatar
L
stne
SVP
SVP
Joined: 27 May 2012
Posts: 1680
Own Kudos [?]: 1424 [0]
Given Kudos: 632
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   07 Jul 2018, 11:07
VeritasPrepKarishma wrote:
stne wrote:
Bunuel wrote:
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A. 1 litre paint
B. 1 litre water
C. ½ litre water and one litre paint
D. ½ litre paint and one litre water
E. ½ litre paint



Hi Bunuel ,

Instead of using part to part , I am using part to whole , approach, why am I not getting the answer !

\(\frac{paint }{ Total \hspace{1mm}quantity}\)=\(\frac{2}{3.5}\) -> Required ratio
Finally after adding x liters of paint to 3 liters of paint already present the ratio of paint to total mixture is \(\frac{3+x}{6}\)

Hence equating the proportions \(\frac{2}{3.5}=\frac{3+x}{6}\)

x = \(\frac{3}{7}\)

Whys is x not coming to 1?


Because once you add x litres of paint to the mix, the total mix becomes 6 + x litres.
Hence,

\(\frac{2}{3.5}=\frac{3+x}{6+x}\)
x = 1



Thank you Karishma.
User avatar
G
Sreyoshi007
Manager
Manager
Joined: 01 Feb 2018
Posts: 84
Own Kudos [?]: 209 [0]
Given Kudos: 769
Location: India
Schools: ISB '20 (WA) NUS '21 (I) NTU '20 (D)
GMAT 1: 700 Q47 V38
WE:Consulting (Consulting)
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   04 Sep 2018, 23:39
Paint and water need to be in the ratio 2 : 1.5 which is nothing but 4 : 3.
Now 6 L solution has equal amounts of paint and water ( 3 L and 3 L) and we need to bring it to the ratio 4 : 3 (P : W).
Currently W is already 3 L, so if we add another 1 L of paint to the 6 L solution, the new ratio will become 4 : 3 as we require.

Hence Answer is A - 1 L of paint.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32682
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink] New post   18 Apr 2021, 05:43
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 Club Bot
gmatclubot
Re: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat [#permalink]
18 Apr 2021, 05:43
Moderators:
Bunuel
Math Expert
92929 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions