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In a certain shipment of T-shirt, 20% are red...

Expert replies
by AAPL » Thu Dec 14, 2017 11:24 am
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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Source: — Problem Solving |

by [email protected] » Thu Dec 14, 2017 11:33 am
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

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by GMATGuruNY » Thu Dec 14, 2017 11:43 am
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
1/5 of the T-shirts are red.
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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by Scott@TargetTestPrep » Mon Sep 23, 2019 5:11 pm
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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