Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 04:47

### 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 painter wishes to paint a house turquoise. To make the color, he sel

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56303
A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

02 Feb 2015, 07:22
1
10
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:46) correct 33% (01:46) wrong based on 463 sessions

### HideShow timer Statistics

A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 56303
A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

09 Feb 2015, 04:28
2
3
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

The correct response is (C).

To find the amount of quarts of blue base, we need to find the ratio between the two components of the mixture: eggshell primer and blue-base. This is given to us in the second statement. We’ll also need to know how much total paint is needed in quarts to find what percent of that total would come from the blue-base coat. This is provided in the first statement. Since this is a Data Sufficiency problem, we don’t need to waste valuable time actually solving. However, if you wanted to check, here’s how:

Eggshell Primer: 70% white

Turquoise Color: 75% white

Blue Base Coat: 90% white

75%-70% = 5%

90% - 75% = 15%

5%/15 % = 1/3 is the ratio of the parts.

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 3/4∗300=225 quarts (157.5 white quarts)

To double-check: 67.5 + 157.5 = 225. 225/300 = 75 % white.
_________________
##### General Discussion
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

02 Feb 2015, 08:19
1
ans C..
!) it gives us total paint reqd.. insufficient
2) it gives % of pure white in blue base insufficient..
combined sufficient as ratio of two types of paint known along with the reqd % and total paint..
_________________
Senior Manager
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

02 Feb 2015, 10:58
1
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.

Facts: House will be turquoise that is 75% pure white.
Eggshell primer is 70% pure white color
Bluebase coat composition is unknown

How many quarts of blue base is required to make the house turquoise?
We need to know 1) total paint required 2) pure white composition of blue base coat

Statement 1:
We now know that 300 quarts of paint is required
But we dont know the composition of blue base coat
Insufficient

Statement 2:
We now know the composition of blue base coat
But we still dont know the total paint required
Insufficient

Combined, we have both total paint required, and the composition of the blue base coat
Sufficient

Manager
Joined: 17 Dec 2013
Posts: 56
GMAT Date: 01-08-2015
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

02 Feb 2015, 13:45
1
Quote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

we need to know 2 things: how we mix our color and how many quarts we need.

(1) gives us quarts but not the mix
(2) gives us the mix but not the quarts.

(1/2): we know we can determine that we need 1 part of the 90% and 3 parts of the 70%. and we need 300 quarts. I go with C
Intern
Joined: 07 Sep 2014
Posts: 13
Location: United States
GMAT Date: 03-14-2015
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

09 Feb 2015, 04:46
1
Bunuel wrote:
Bunuel wrote:

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 1/4∗300=225 quarts (157.5 white quarts)

Bunuel
I think there is typo.Instead of 1/4 for eggshell primer it should be 3/4.

Math Expert
Joined: 02 Sep 2009
Posts: 56303
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

09 Feb 2015, 04:48
vinyasgupta wrote:
Bunuel wrote:
Bunuel wrote:

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 1/4∗300=225 quarts (157.5 white quarts)

Bunuel
I think there is typo.Instead of 1/4 for eggshell primer it should be 3/4.

Thank you. Edited.
_________________
Intern
Joined: 17 Aug 2014
Posts: 7
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

18 Sep 2016, 12:19
1
Bunuel wrote:
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

The correct response is (C).

To find the amount of quarts of blue base, we need to find the ratio between the two components of the mixture: eggshell primer and blue-base. This is given to us in the second statement. We’ll also need to know how much total paint is needed in quarts to find what percent of that total would come from the blue-base coat. This is provided in the first statement. Since this is a Data Sufficiency problem, we don’t need to waste valuable time actually solving. However, if you wanted to check, here’s how:

Eggshell Primer: 70% white

Turquoise Color: 75% white

Blue Base Coat: 90% white

75%-70% = 5%

90% - 75% = 15%

5%/15 % = 1/3 is the ratio of the parts.

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 3/4∗300=225 quarts (157.5 white quarts)

To double-check: 67.5 + 157.5 = 225. 225/300 = 75 % white.

Where did you get 1/4 from? Shouldn't it be 1/3 along with the ratio of the parts?
Director
Joined: 27 May 2012
Posts: 814
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

17 Sep 2018, 08:28
1
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.

Dear Moderator,
Found this " Mixture Problems" under " Work/rate problems ". Hope you will look into this. Thank you.
_________________
- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 56303
Re: A painter wishes to paint a house turquoise. To make the color, he sel  [#permalink]

### Show Tags

17 Sep 2018, 08:33
stne wrote:
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.

Dear Moderator,
Found this " Mixture Problems" under " Work/rate problems ". Hope you will look into this. Thank you.

___________________
Edited. Thank you.
_________________
Re: A painter wishes to paint a house turquoise. To make the color, he sel   [#permalink] 17 Sep 2018, 08:33
Display posts from previous: Sort by