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The garments in a shipment

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by didieravoaka » Tue Nov 17, 2015 7:53 pm
When 2/3 of the garments in a shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?

A. 10
B. 9
C. 8
D. 7
E. 5

Please explain...
Thanks
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by GMATGuruNY » Wed Nov 18, 2015 3:26 am
didieravoaka wrote:When 2/3 of the garments in a shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?

A. 10
B. 9
C. 8
D. 7
E. 5
Of the inspected garments, 18 passed and 2 failed, for a total of 20 inspected garments.
Since the inspected garments constitute 2/3 of the shipment, the shipment = 30 garments.
Since 90% percent of the shipment must pass, the total number that must pass = 90% of 30 = 27.
Since 18 of the inspected garments passed, and a total of 27 garments must pass, the number of uninspected garments that must pass = 27-18 = 9.

The correct answer is B.
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by didieravoaka » Wed Nov 18, 2015 4:43 am
GMATGuruNY wrote:
didieravoaka wrote:When 2/3 of the garments in a shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?

A. 10
B. 9
C. 8
D. 7
E. 5
Of the inspected garments, 18 passed and 2 failed, for a total of 20 inspected garments.
Since the inspected garments constitute 2/3 of the shipment, the shipment = 30 garments.
Since 90% percent of the shipment must pass, the total number that must pass = 90% of 30 = 27.
Since 18 of the inspected garments passed, and a total of 27 garments must pass, the number of uninspected garments that must pass = 27-18 = 9.

The correct answer is B.
Thanks GuruNY,
I really like your easy explanations.
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