In a certain shipment of T-shirts, 20% are red. Of those shirts, 30% are size small. If there are 366 red, small T-shirts, how many T-shirts in total were in the original shipment?
A. 732
B. 1220
C. 1830
D. 4806
E. 6100
The OA is E.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
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In a certain shipment of T-shirt, 20% are red...
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Hi AAPL,
We're told that in a certain shipment of T-shirts, 20% are red - and of those red shirts, 30% are size small. There are 366 red, small T-shirts. We're asked for the total number of T-shirts in the original shipment. This question can be solved in a couple of different ways, but you might find it fastest to just to the 'math' involved (although the answer choices are 'spread out' enough that you can stop working at a certain point....).
Since 30% of the 20% of the total are red, small shirts, we can set up the following equation:
(Total)(.2)(.3) = 366
(Total)(.06) = 366
(Total)(6) = 36,600
At this point, we know that '6 times' the total = 36,000+, so the correct answer has to be greater than 6,000. There's only one answer that matches:
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
We're told that in a certain shipment of T-shirts, 20% are red - and of those red shirts, 30% are size small. There are 366 red, small T-shirts. We're asked for the total number of T-shirts in the original shipment. This question can be solved in a couple of different ways, but you might find it fastest to just to the 'math' involved (although the answer choices are 'spread out' enough that you can stop working at a certain point....).
Since 30% of the 20% of the total are red, small shirts, we can set up the following equation:
(Total)(.2)(.3) = 366
(Total)(.06) = 366
(Total)(6) = 36,600
At this point, we know that '6 times' the total = 36,000+, so the correct answer has to be greater than 6,000. There's only one answer that matches:
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
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1/5 of the T-shirts are red.AAPL wrote:In a certain shipment of T-shirts, 20% are red. Of those shirts, 30% are size small. If there are 366 red, small T-shirts, how many T-shirts in total were in the original shipment?
A. 732
B. 1220
C. 1830
D. 4806
E. 6100
3/10 of the red shirts are small.
Implication of the denominators in blue:
The total number of shirts must be a value that can be divided first by 5 (to calculate the number of red shirts) and then by 10 (to determine how many of the red shirts are small).
Thus, the total number of shirts must be a MULTIPLE OF 50.
The correct answer is E.
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AAPL wrote:In a certain shipment of T-shirts, 20% are red. Of those shirts, 30% are size small. If there are 366 red, small T-shirts, how many T-shirts in total were in the original shipment?
A. 732
B. 1220
C. 1830
D. 4806
E. 6100
The OA is E.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
We can create the equation:
0.2 x 0.3 x n = 366
0.06n = 366
n = 6,100
Answer: E
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