The garments in a shipment

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 163
Joined: Tue Jan 13, 2015 11:44 am
Thanked: 2 times

The garments in a shipment

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
Source: — Problem Solving |

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

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.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Master | Next Rank: 500 Posts
Posts: 163
Joined: Tue Jan 13, 2015 11:44 am
Thanked: 2 times

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.