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

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Math Expert
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To create paint with a certain shade of gray, one must combine 2.016  [#permalink]

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23 Mar 2015, 06:30
2
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Difficulty:

35% (medium)

Question Stats:

71% (01:44) correct 29% (01:47) wrong based on 364 sessions

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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]

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25 Mar 2015, 02:35
6
1

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]

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23 Mar 2015, 07:09
3
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]

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26 Mar 2015, 00:08
1
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.

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]

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26 Mar 2015, 07:40
1
A

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]

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26 Mar 2015, 20:34
1
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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Posts: 56304
Re: To create paint with a certain shade of gray, one must combine 2.016  [#permalink]

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30 Mar 2015, 03:45
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 [ 20.02 KiB | Viewed 3498 times ]

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Re: To create paint with a certain shade of gray, one must combine 2.016  [#permalink]

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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]

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15 Jul 2018, 04:58
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Re: To create paint with a certain shade of gray, one must combine 2.016   [#permalink] 15 Jul 2018, 04:58
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