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150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su

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Bunuel
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150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink] New post   18 Jun 2019, 00:44
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150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/5
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D
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Lampard42
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Re: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink] New post   18 Jun 2019, 01:59
Bunuel wrote:
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/5


total acid/total solution; (150*0.3+400*1.2)/550; 93/550; the options have a wide gap to approximate to high extent 90*100/550;9*100/50=18% (must be less than this as denominator is reduced), 1/5 itself is 20% so IMO D 1/6
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Re: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink] New post   18 Jun 2019, 08:28
Bunuel wrote:
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/5


Total volume = 150 + 400 = 550 ml

Sulphuric acid concentration = 30% of 150 + 12% of 400
= 30/100*150 + 12/100*400
= 45 + 48 = 93

Approximate fraction = 93/550 = 90/540 (approx) = 1/6

IMO Option D

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Re: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink] New post   18 Jun 2019, 10:42
Bunuel wrote:
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/5


.3*150+.25*400/550 = 1/6
IMO D
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Re: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink] New post   21 Jun 2019, 19:48
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Bunuel wrote:
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/5


150 x 0.3 + 400 x 0.12 = 45 + 48 = 93

So the concentration of acid in the mixture is 93/550, which is about 1/6.

Answer: D
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Re: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink] New post   02 Jul 2019, 09:46
[fraction][/fraction]
Bunuel wrote:
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/5


I have done this using weighted average:

[w1][/w2]=[A-A2][/A1-A]
=[150][/400]=[A-12][/30-A]
=90-3A=8A-96
=A=16.x

only D matches [1][/6]
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Re: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% su [#permalink]
02 Jul 2019, 09:46
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