Last visit was: 16 Sep 2026, 21:16 It is currently 16 Sep 2026, 21:16
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Sep 2026
Posts: 113,597
Own Kudos:
841,743
 [7]
Given Kudos: 111,580
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,597
Kudos: 841,743
 [7]
In a production lot, 20% of widgets are blue and the rest are black. 13 Jan 2021, 05:15
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

85% (02:25) correct 15% (03:02) wrong based on 237 sessions

History

Date
Time
Result
Not Attempted Yet
In a production lot, 20% of widgets are blue and the rest are black. One-half of widgets are made of silver and the rest are made of gold. If 10% of the widgets are silver and blue, and 80 are black and gold, how many total widgets are there?

A. 140
B. 160
C. 180
D. 200
E. 250
ShowHide Answer
Official Answer
D
User avatar
dave13
User avatar
Joined: 09 Mar 2016
Last visit: 10 Jul 2026
Posts: 1,081
Own Kudos:
1,161
Given Kudos: 3,851
Posts: 1,081
Kudos: 1,161
In a production lot, 20% of widgets are blue and the rest are black. 13 Jan 2021, 11:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In a production lot, 20% of widgets are blue and the rest are black. One-half of widgets are made of silver and the rest are made of gold. If 10% of the widgets are silver and blue, and 80 are black and gold, how many total widgets are there?

A. 140
B. 160
C. 180
D. 200
E. 250
Show more

Silver Gold total
Blue 0.1 0.1 0.2t

Black 0.4t 80 0.8t

Total 0.5 0.5 t

0.8t-0.4t=80

T =200

D :grin:
User avatar
rocky620
User avatar
Retired Moderator
Joined: 10 Nov 2018
Last visit: 11 May 2023
Posts: 476
Own Kudos:
660
 [1]
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail: E-commerce)
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
Posts: 476
Kudos: 660
 [1]
In a production lot, 20% of widgets are blue and the rest are black. 19 Jan 2021, 05:43
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Kindly refer the image below:

We know that 80 widgets are black and gold, which is equal to 40%
So total = 80/.40 = 200
Attachments

File comment: Widgets
Widgets.png
Widgets.png [ 18.51 KiB | Viewed 3739 times ]

User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Sep 2026
Posts: 113,597
Own Kudos:
841,743
 [1]
Given Kudos: 111,580
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,597
Kudos: 841,743
 [1]
In a production lot, 20% of widgets are blue and the rest are black. 20 Jan 2021, 15:30
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
In a production lot, 20% of widgets are blue and the rest are black. One-half of widgets are made of silver and the rest are made of gold. If 10% of the widgets are silver and blue, and 80 are black and gold, how many total widgets are there?

A. 140
B. 160
C. 180
D. 200
E. 250
Show more

Veritas Prep Official Explanation



Problems like this are intimidating without a defined method. Because the two sets of information given are complementary (meaning they account for all possibilities; every widget is either black or blue and every widget is either silver or gold) you should set up a Matrix Box, as shown. First fill in all the percent information given:



As you can see, by inserting that information you can now fill in everything else:



Now you can leverage the fact that 80 widgets are black and gold to determine the total. 80 = 40% of the total, so 80 = .4T and T = 200.


Show Spoiler
Attachment:
2021-01-13_13-32-13.png
2021-01-13_13-32-13.png [ 32.53 KiB | Viewed 3641 times ]
Attachment:
2021-01-13_13-32-30.png
2021-01-13_13-32-30.png [ 39.42 KiB | Viewed 3606 times ]
User avatar
CEdward
User avatar
Joined: 11 Aug 2020
Last visit: 14 Apr 2022
Posts: 1,148
Own Kudos:
308
 [1]
Given Kudos: 332
Posts: 1,148
Kudos: 308
 [1]
In a production lot, 20% of widgets are blue and the rest are black. 20 Jan 2021, 19:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
x/5 - x/10 = x/2 - 80
x = 200

D.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Sep 2026
Posts: 113,597
Own Kudos:
841,743
Given Kudos: 111,580
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,597
Kudos: 841,743
In a production lot, 20% of widgets are blue and the rest are black. 23 Jan 2021, 02:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In a production lot, 20% of widgets are blue and the rest are black. One-half of widgets are made of silver and the rest are made of gold. If 10% of the widgets are silver and blue, and 80 are black and gold, how many total widgets are there?

A. 80
B. 100
C. 160
D. 200
E. 320
Show more

Veritas Prep Official Explanation



Problems like this are intimidating without a defined method. Because the two sets of information given are complementary (meaning they account for all possibilities: Every widget is either black or blue, and every widget is either silver or gold) you should set up a Matrix Box as shown below. First fill in all the percent information given:



As you can see, by inserting that information you can now fill in everything else:



Now you can leverage the fact that 80 widgets are black and gold to determine the total. 80 = 40% of the total, so 80 = .4T and T = 200.

Show Spoiler
Attachment:
2021-01-12_01-01-10.png
2021-01-12_01-01-10.png [ 31.91 KiB | Viewed 3522 times ]
Attachment:
2021-01-12_01-01-25.png
2021-01-12_01-01-25.png [ 38.79 KiB | Viewed 3485 times ]
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,230
Own Kudos:
1,160
Posts: 39,230
Kudos: 1,160
In a production lot, 20% of widgets are blue and the rest are black. 21 Oct 2024, 14:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
113597 posts