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To create paint with a certain shade of gray, one must combine 2.016

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Bunuel
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To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   23 Mar 2015, 06:30
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To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?

A. 173.6
B. 176.4
C. 347.1
D. 694.4
E. 705.6
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   25 Mar 2015, 02:35
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Answer = A. 173.6

White paint required \(= \frac{350}{2.016} = \frac{350}{2 + 0.016}\)

\(\frac{350}{2} = 175\)

More the denominator, less is the numerator

So the answer should be less than 175, only option A fits in
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   23 Mar 2015, 07:09
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Bunuel wrote:
To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?

A. 173.6
B. 176.4
C. 347.1
D. 694.4
E. 705.6

Kudos for a correct solution.


Since the ratio of Black to White is 2.016 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.

Now between A and B:

Black:White = 2.016:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. B is more than half so can not be the answer, A fits the criteria hence should be the correct answer. No calculation needed whatsoever.
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   26 Mar 2015, 00:08
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Bunuel wrote:
To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?

A. 173.6
B. 176.4
C. 347.1
D. 694.4
E. 705.6

Kudos for a correct solution.


Answer=A
Amount of white paint required=350/2.016=173.6
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   26 Mar 2015, 07:40
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white paint req =350/2.016= approx 175

but since denominator is more thena num

so option A fits in
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   26 Mar 2015, 20:34
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Ratio is approx 2:1 black to white paint.

350 black/2 = 175 but the real ratio is a little bit more than 2, so the answer will be less than 175, hence A.
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   30 Mar 2015, 03:45
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Bunuel wrote:
To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?

A. 173.6
B. 176.4
C. 347.1
D. 694.4
E. 705.6

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
makinggraypaint_text.PNG
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   24 Oct 2016, 08:16
This question tests your understanding of conversion factors...

350 lit black x (1 lit white/2.016 lit black) = 173.6
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   21 Oct 2020, 04:54
2.016 liters of black paint : 1 liter white paint

Lets say hypothetically we were given that 2 liters of black paint : 1 liter of white paint

350 black paint = 175 white paint

Now, we're increasing the amount of black paint to white paint. Therefore, the amount of white paint decreases.

Only 173.6 is less than 175. Answer is A.
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink] New post   25 Jan 2023, 11:43
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Bunuel wrote:
To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?

A. 173.6
B. 176.4
C. 347.1
D. 694.4
E. 705.6

Kudos for a correct solution.


We can create the following proportion:

2.016/1 = 350/n

2.016n = 350

n = 350/2.016

Since 350/2 = 175, and since 2.016 is slightly larger than 2, we see that the correct answer must be slightly smaller than 175, so the correct answer is 173.6.

Answer: A
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Re: To create paint with a certain shade of gray, one must combine 2.016 [#permalink]
25 Jan 2023, 11:43
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