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# A drum of bathroom cleaner contains 200 gallons of a cleaning solution

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Math Expert
Joined: 02 Sep 2009
Posts: 58441
A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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11 Aug 2017, 00:16
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:27) correct 15% (01:32) wrong based on 154 sessions

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A drum of bathroom cleaner contains 200 gallons of a cleaning solution that is 20% bleach. If 50 gallons of water are added to the solution, what percent of the new solution is composed of bleach?

A. 12%
B. 15%
C. 16%
D. 18%
E. 20%

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Re: A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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11 Aug 2017, 00:33
2
Bunuel wrote:
A drum of bathroom cleaner contains 200 gallons of a cleaning solution that is 20% bleach. If 50 gallons of water are added to the solution, what percent of the new solution is composed of bleach?

A. 12%
B. 15%
C. 16%
D. 18%
E. 20%

Cleaning solution $$= 200$$ gallons

$$20$$% of cleaning solution is bleach $$= 20$$% of $$200 = \frac{20}{100} * 200 = 40$$ gallons

$$50$$ gallons of water is added to solution.

Therefore new total gallons of Cleaning solution $$= 200 + 50 = 250$$ gallons

Required Percentage $$=$$ (Bleach $$/$$ New solution )$$* 100$$

Required Percentage $$= ( \frac{40}{250} ) * 100 = \frac{4000}{250} = 16$$%

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Re: A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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11 Aug 2017, 00:34
If 20% of the cleaning solution(200 gallons) is bleach,
the bleach is 40 gallons and water is 160 gallons.

Since 50 gallons of water is added to this solution,
the new percentage of bleach in the solution is $$\frac{40}{250} = \frac{40}{250}*100 = \frac{40*2}{5} = \frac{80}{5}= 16%$$(Option C)
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A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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11 Aug 2017, 06:22
2
Bunuel wrote:
A drum of bathroom cleaner contains 200 gallons of a cleaning solution that is 20% bleach. If 50 gallons of water are added to the solution, what percent of the new solution is composed of bleach?

A. 12%
B. 15%
C. 16%
D. 18%
E. 20%

Let x = Resultant percentage of bleach
Water is 0.0 percent bleach

(.20)200 + (0.0)(50) = $$\frac{x}{100}$$(200 + 50)

40 = $$\frac{x}{100}$$ (250)

40 = $$\frac{250}{100}$$x, or $$\frac{5}{2}$$x

$$\frac{2}{5}$$*(40) = x

x = 16

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A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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11 Aug 2017, 09:50
Bunuel wrote:
A drum of bathroom cleaner contains 200 gallons of a cleaning solution that is 20% bleach. If 50 gallons of water are added to the solution, what percent of the new solution is composed of bleach?

A. 12%
B. 15%
C. 16%
D. 18%
E. 20%

let x=% bleach in new solution
.2*200=x*250
x=16%
C
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Joined: 06 Nov 2016
Posts: 25
Re: A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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14 Aug 2017, 18:07
Based on the question, we realize the value will be closer to 20 than to 10.

200 at 20% 50G at 0%
A-----------C------------------------------------B

The gallons mixed are in the ratio of 4:1 since 200 G are mixed with 50 G. Hence 4 parts of bleach will be mixed with one part of water. Hence 16%.
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Re: A drum of bathroom cleaner contains 200 gallons of a cleaning solution  [#permalink]

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13 Oct 2018, 07:54
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Re: A drum of bathroom cleaner contains 200 gallons of a cleaning solution   [#permalink] 13 Oct 2018, 07:54
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