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

Question

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.

(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 .

Bunuel · Accepted Answer

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.

chetan2u · Answer

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..

peachfuzz · Answer

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

Answer: C

eddyki · Answer

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

vinyasgupta · Answer

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

Bunuel · Answer

Thank you. Edited.

gmatser · Answer

Where did you get 1/4 from? Shouldn't it be 1/3 along with the ratio of the parts?

stne · Answer

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

Bunuel · Answer

___________________
Edited. Thank you.

bumpbot · Answer

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

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