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25 Jan 2023, 02:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
62% (03:08) correct
38%
(02:55)
wrong
based on 98
sessions
History
Date
Time
Result
Not Attempted Yet
A furniture company has warehouses in two cities: Madison and York. The Madison warehouse stocks desks, tables, and chairs in a ratio of 5: 9: 15. If all the desks and tables are transferred from the Madison warehouse to the York warehouse, increasing that warehouse’s inventory of items by 20 percent, which of the following could be the number of items in the York warehouse after the transfer?
I. 168
II. 336
III. 504
A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III
I. 168
II. 336
III. 504
A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III
25 Jan 2023, 13:48
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Bunuel
Furnitures in Madison warehouse = Desk : Tables : Chairs = 5x : 9x : 15x
Desk + Tables = 14x
Let the number of furniture in the York warehouse = y
\(\frac{14x}{y }= \frac{20}{100}\)
70x = y
Total furniture in the York warehouse = y + 14x = 70x + 14x = 84x.
So the total furniture should be a multiple of 84
I. 168 = 84 * 2
II. 336 = 84 * 4
III. 504 = 84 * 6
Option E
28 Jan 2023, 12:02
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Desk + Tables from the Madison warehouse (14x) would be 20% of the York inventory before transfer
Hence,
Option 1
\(\frac{14x}{168-14x}\) = \(\frac{1}{5}\)
70x = 168x - 14x
84x = 168
x = 2 - POSSIBLE
Option 2
84x = 336
x = 4 - POSSIBLE
Option 3
84x = 504
x = 6 - POSSIBLE
OPTION E
Hence,
Option 1
\(\frac{14x}{168-14x}\) = \(\frac{1}{5}\)
70x = 168x - 14x
84x = 168
x = 2 - POSSIBLE
Option 2
84x = 336
x = 4 - POSSIBLE
Option 3
84x = 504
x = 6 - POSSIBLE
OPTION E
