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Bunuel
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In a production lot, 20% of widgets are blue and the rest are black. 13 Jan 2021, 05:15
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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
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D
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In a production lot, 20% of widgets are blue and the rest are black. 13 Jan 2021, 11:29
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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
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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:
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In a production lot, 20% of widgets are blue and the rest are black. 19 Jan 2021, 05:43
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Kindly refer the image below:

We know that 80 widgets are black and gold, which is equal to 40%
So total = 80/.40 = 200
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In a production lot, 20% of widgets are blue and the rest are black. 20 Jan 2021, 15:30
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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
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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 3478 times ]
Attachment:
2021-01-13_13-32-30.png
2021-01-13_13-32-30.png [ 39.42 KiB | Viewed 3453 times ]
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In a production lot, 20% of widgets are blue and the rest are black. 20 Jan 2021, 19:59
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x/5 - x/10 = x/2 - 80
x = 200

D.
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In a production lot, 20% of widgets are blue and the rest are black. 23 Jan 2021, 02:15
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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 3366 times ]
Attachment:
2021-01-12_01-01-25.png
2021-01-12_01-01-25.png [ 38.79 KiB | Viewed 3333 times ]
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In a production lot, 20% of widgets are blue and the rest are black. 21 Oct 2024, 14:00
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