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# A pharmaceutical company needs o use 3 solutions of drug 'G'

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SVP
Joined: 26 Mar 2013
Posts: 2283
A pharmaceutical company needs o use 3 solutions of drug 'G'  [#permalink]

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Updated on: 26 Sep 2018, 03:18
3
00:00

Difficulty:

95% (hard)

Question Stats:

23% (02:45) correct 77% (02:20) wrong based on 51 sessions

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A pharmaceutical company needs to use 3 solutions of drug 'G' containing respectively 50%, 20% and 5% to make 600ml of 10%drug 'G'. How much of the 50% will the company use?

A. 95
B. 50
C. 30
D. 15
E. None of the above

Originally posted by Mo2men on 26 Sep 2018, 02:42.
Last edited by Mo2men on 26 Sep 2018, 03:18, edited 1 time in total.
Intern
Joined: 06 Nov 2014
Posts: 14
Location: Viet Nam
GMAT 1: 720 Q50 V36
GMAT 2: 740 Q50 V40
GPA: 3.67
Re: A pharmaceutical company needs o use 3 solutions of drug 'G'  [#permalink]

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26 Sep 2018, 03:09
I do not think this is a correct GMAT question. Here is my approach:

Volume of 50%, 20%, and 10% solution = a, b, and c respectively.

(1) a+b+c=600

(2) 0.5a+0.2b+0.05c=60
(2) 10a+4b+c=1200

(2)-(1) --> 9a+3b=600 --> 3a+b=200

From here, you can select any pair of a and b that qualifies 3a+b=200.
For example, a=50 and b=50. From (1) --> c = 500. Check (2): 0.5*50+0.2*50+0.05*500=60. Answer B is fine.
Another example, a=10 and b=170. From (1) --> c = 420. Check (2): 0.5*10+0.2*170+0.05*420=60. Anwer E is also fine.
Intern
Joined: 31 Mar 2017
Posts: 9
Re: A pharmaceutical company needs o use 3 solutions of drug 'G'  [#permalink]

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13 Dec 2018, 19:13
(35+20)/2 = 35
35----5
---10---
1 : 5
6 = 600
1 = 100

50 - - - - 20
----35----
1 : 1
2=100
1 = 50

Is my approach correct? TIA

Posted from my mobile device
Re: A pharmaceutical company needs o use 3 solutions of drug 'G'   [#permalink] 13 Dec 2018, 19:13
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