Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58445

A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
18 Nov 2015, 23:35
Question Stats:
69% (02:33) correct 31% (02:51) wrong based on 317 sessions
HideShow timer Statistics
A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture? A. 150 B. 225 C. 325 D. 425 E. 550
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4009
Location: Canada

A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
Updated on: 19 Nov 2015, 23:39
Bunuel wrote: A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150 B. 225 C. 325 D. 425 E. 550 Medication A: 40% pain killer Medication B: 20% pain killer We combine medications to get TOTAL of 750 ml that's approximately 29% pain killer (215/750 ≈ 29%) Important, if we combine EQUAL AMOUNTS of medications A and B (i.e., 375 mls of each), the TOTAL mixture is 30%. Since the ACTUAL mixture is 29% , we know that this mixture has MORE of medication B (20%) than medication A (40%) However, since 29% is very close to 30%, we know that a BIT MORE than half the mixture is medication B. Check the answer choices to see that D (425) is a bit more than half. Answer: D For more on this concept, please see our free video on weighted averages  http://www.gmatprepnow.com/module/gmat ... /video/805Cheers, Brent
_________________
Test confidently with gmatprepnow.com
Originally posted by GMATPrepNow on 19 Nov 2015, 15:22.
Last edited by GMATPrepNow on 19 Nov 2015, 23:39, edited 1 time in total.




Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2401
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
19 Nov 2015, 01:00
Let there be A milliliters of Medication A and B milliliters of Medication B A+B = 750  1 Medication A contains 40% pain killer and medication B contains 20% pain killer. (40/100)*A + (20/100)*B = 215 => (2/5)*A + (1/5)*B = 215 Multiplying by 5 , we get 2A + B = 1075  2 Equation 2 Equation 1 , we get A = 325 B = 425 Answer D
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long



Manager
Joined: 05 Jul 2015
Posts: 93
Concentration: Real Estate, International Business
GPA: 3.3

A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
19 Nov 2015, 14:26
I tried algebra first but messed up and didn't get an answer choice so then I used this method but I'm not sure if it's the quickest. I probably took 3 minutes because of my mess up.
If mixture was all A it would be (2/5)750= 300 If it was all B the mixture would be (1/5)(750) = 150
AgivenB 300215150 8565
85+65=150 so B is (85/150)(750) = 85*5 = 425
My algebra looked like this. Could someone tell me where I went wrong?
A+B = 750 (2/5)A+(1/5)B=215
(2/5)(750B)+(1/5)B = 215 300(2/5)B + (1/5)B = 215 (1/5)B = 115 B=575 WRONG!!!!!!! Please Help



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2401
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
19 Nov 2015, 19:55
DJ1986 wrote: I tried algebra first but messed up and didn't get an answer choice so then I used this method but I'm not sure if it's the quickest. I probably took 3 minutes because of my mess up.
If mixture was all A it would be (2/5)750= 300 If it was all B the mixture would be (1/5)(750) = 150
AgivenB 300215150 8565
85+65=150 so B is (85/150)(750) = 85*5 = 425
My algebra looked like this. Could someone tell me where I went wrong?
A+B = 750 (2/5)A+(1/5)B=215
(2/5)(750B)+(1/5)B = 215 300(2/5)B + (1/5)B = 215 (1/5)B = 115  you made an error here B=575 WRONG!!!!!!! Please Help [/b] Hi DJ1986 , 300(2/5)B + (1/5)B = 215 => (1/5)B = 215  300 = 85 =>B = 425 Hope this helps !!
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long



SVP
Joined: 26 Mar 2013
Posts: 2344

Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
19 Nov 2015, 23:30
GMATPrepNow wrote: Bunuel wrote: A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150 B. 225 C. 325 D. 425 E. 550 Medication A: 40% pain killer Medication B: 20% pain killer We combine medications to get TOTAL of 750 ml that's approximately 29% pain killer (215/750 ≈ 29%) Important, if we combine EQUAL AMOUNTS of medications A and B (i.e., 375 mls of each), the TOTAL mixture is 30%. Since the ACTUAL mixture is 29% , we know that this mixture has MORE of medication A (20%) than medication B (40%)However, since 29% is very close to 30%, we know that a BIT MORE than half the mixture is medication B. Check the answer choices to see that D (425) is a bit more than half. Answer: D For more on this concept, please see our free video on weighted averages  http://www.gmatprepnow.com/module/gmat ... /video/805Cheers, Brent Hi Brent, Really nice logic solution. However, I think there is type error. Please review the highlighted part. it should be Medicine B (20%) and A (40%)



GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4009
Location: Canada

Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
19 Nov 2015, 23:40
Mo2men wrote: GMATPrepNow wrote: Bunuel wrote: A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150 B. 225 C. 325 D. 425 E. 550 Medication A: 40% pain killer Medication B: 20% pain killer We combine medications to get TOTAL of 750 ml that's approximately 29% pain killer (215/750 ≈ 29%) Important, if we combine EQUAL AMOUNTS of medications A and B (i.e., 375 mls of each), the TOTAL mixture is 30%. Since the ACTUAL mixture is 29% , we know that this mixture has MORE of medication A (20%) than medication B (40%)However, since 29% is very close to 30%, we know that a BIT MORE than half the mixture is medication B. Check the answer choices to see that D (425) is a bit more than half. Answer: D For more on this concept, please see our free video on weighted averages  http://www.gmatprepnow.com/module/gmat ... /video/805Cheers, Brent Hi Brent, Really nice logic solution. However, I think there is type error. Please review the highlighted part. it should be Medicine B (20%) and A (40%) Good catch, Mo2men! I have edited my response. Cheers, Brent
_________________
Test confidently with gmatprepnow.com



Intern
Joined: 04 Apr 2015
Posts: 3

Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
20 Nov 2015, 06:12
Bunuel wrote: A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150 B. 225 C. 325 D. 425 E. 550 Total mixture = 750 mL Milliliters of medication B in the mixture = B Milliliters of medication A in the mixture = (750  B) Medication A contains 40% pain killer, B contains 20% pain killer, and the patient receives 215 mL. 0.4 (750  B) + 0.2 (B) = 215 300  0.4*B + 0.2*B = 215 0.2*B = 85 B = 425 Answer D



VP
Joined: 07 Dec 2014
Posts: 1224

A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
Updated on: 06 Aug 2017, 16:58
A patient is given exactly 750 milliliters of a mixture of two medications daily. Medication A contains 40% pain killer and medication B contains 20% pain killer. If the patient receives exactly 215 milliliters of pain killer daily, how many milliliters of medication B are in the mixture?
A. 150 B. 225 C. 325 D. 425 E. 550
equation1: A+B=750 ml equation2: .4A+.2B=215 ml multiplying e2 by 2.5, A+.5B=537.5 ml subtracting from equation1, .5B=212.5 ml B=425 ml D
Originally posted by gracie on 07 May 2016, 15:18.
Last edited by gracie on 06 Aug 2017, 16:58, edited 3 times in total.



NonHuman User
Joined: 09 Sep 2013
Posts: 13275

Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
Show Tags
13 Aug 2019, 02:37
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________




Re: A patient is given exactly 750 milliliters of a mixture of two medicat
[#permalink]
13 Aug 2019, 02:37






