NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 06:43 It is currently 25 Apr 2024, 06:43
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10%

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Posts: 718
Own Kudos [?]: 2147 [18]
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
Send PM
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink] New post   21 Jun 2019, 10:40
1
Kudos
17
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

78% (02:26) correct 22% (02:26) wrong based on 301 sessions
Hide Show timer Statistics
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10%, 40% and 70% concentration of zinc respectively. If p grams of M1, q grams of M2 and r grams of M3 is mixed to form (p +q+ r) grams of mixture with 25% zinc concentration. What is the value r in terms of p and q?


A. (p−q)/3
B. (p−q)/2
C. (p+q)/2
D. (p+q)/3
E. (p+2q)/3
ShowHide Answer
Official Answer
A
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [3]
Given Kudos: 704
Location: India
Send PM
Re: There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink] New post   21 Jun 2019, 12:25
3
Kudos
In p grams of M1, amount of zinc= 0.1p
In q grams of M2, amount of zinc= 0.4q
In q grams of M3, amount of zinc= 0.7r

\(\frac{0.1p+ 0.4q + 0.7r}{p+q+r}=\frac{1}{4}\)

0.6p=0.6q+1.8r
p=q+3r
r=1/3*(p-q)


kiran120680 wrote:
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10%, 40% and 70% concentration of zinc respectively. If p grams of M1, q grams of M2 and r grams of M3 is mixed to form (p +q+ r) grams of mixture with 25% zinc concentration. What is the value r in terms of p and q?


A. (p−q)/3
B. (p−q)/2
C. (p+q)/2
D. (p+q)/3
E. (p+2q)/3
User avatar
S
pandajee
Manager
Manager
Joined: 27 Nov 2018
Posts: 57
Own Kudos [?]: 31 [0]
Given Kudos: 70
Send PM
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink] New post   10 May 2021, 22:30
nick1816 wrote:
In p grams of M1, amount of zinc= 0.1p
In q grams of M2, amount of zinc= 0.4q
In q grams of M3, amount of zinc= 0.7r

\(\frac{0.1p+ 0.4q + 0.7r}{p+q+r}=\frac{1}{4}\)

0.6p=0.6q+1.8r
p=q+3r
r=1/3*(p-q)


kiran120680 wrote:
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10%, 40% and 70% concentration of zinc respectively. If p grams of M1, q grams of M2 and r grams of M3 is mixed to form (p +q+ r) grams of mixture with 25% zinc concentration. What is the value r in terms of p and q?


A. (p−q)/3
B. (p−q)/2
C. (p+q)/2
D. (p+q)/3
E. (p+2q)/3



nick.. can you suggest some good source of concept files for solving mixture problems.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92913
Own Kudos [?]: 618940 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink] New post   11 May 2021, 00:26
1
Kudos
Expert Reply
pandajee wrote:
nick1816 wrote:
In p grams of M1, amount of zinc= 0.1p
In q grams of M2, amount of zinc= 0.4q
In q grams of M3, amount of zinc= 0.7r

\(\frac{0.1p+ 0.4q + 0.7r}{p+q+r}=\frac{1}{4}\)

0.6p=0.6q+1.8r
p=q+3r
r=1/3*(p-q)


kiran120680 wrote:
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10%, 40% and 70% concentration of zinc respectively. If p grams of M1, q grams of M2 and r grams of M3 is mixed to form (p +q+ r) grams of mixture with 25% zinc concentration. What is the value r in terms of p and q?


A. (p−q)/3
B. (p−q)/2
C. (p+q)/2
D. (p+q)/3
E. (p+2q)/3



nick.. can you suggest some good source of concept files for solving mixture problems.


18. Mixture Problems



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.
User avatar
B
adityasuresh
Manager
Manager
Joined: 03 May 2020
Posts: 108
Own Kudos [?]: 33 [1]
Given Kudos: 512
Send PM
Re: There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink] New post   12 Oct 2022, 23:01
1
Kudos
There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10%, 40% and 70% concentration of zinc respectively. If p grams of M1, q grams of M2 and r grams of M3 is mixed to form (p +q+ r) grams of mixture with 25% zinc concentration. What is the value r in terms of p and q?


A. (p−q)/3
B. (p−q)/2
C. (p+q)/2
D. (p+q)/3
E. (p+2q)/3

Using Weighted Average : Assume Volume of alloy = 100
10P + 40Q + 70R = 25(P+Q+R)
10P + 40Q + 70R = 25P + 25Q + 25R
Keep R terms in the RHS and equate.
70R - 25R = 25P - 10P + 25Q - 40Q
45R = 15P - 15Q (Divide both sides by 15)
3R = P - Q
R =\((P - Q)/(3)\)
\(A\)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32673
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink] New post   10 Mar 2024, 11:44
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.
GMAT Club Bot
gmatclubot
Re: There are three types of zinc-aluminium alloy, M1, M2 and M3, with 10% [#permalink]
10 Mar 2024, 11:44
Moderators:
Bunuel
Math Expert
92912 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions