When 2/3 of the garments in the shipment were inspected

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 am; Followed by:2 members

When 2/3 of the garments in the shipment were inspected

by Gmat_mission » Wed Apr 17, 2019 12:36 am

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When 2/3 of the garments in the 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

[spoiler]OA=B[/spoiler]

Source: GMAT Paper Tests

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Source: Beat The GMAT — Problem Solving | Wed Apr 17, 2019 12:36 am

Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

by Vincen » Wed Apr 17, 2019 3:32 am

Hello Gmat_mission.

When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed.

This implies that 20 garments represent 2/3 of the total.

So, the total is given by $$T = \frac{20}{\frac{2}{3}}=30.$$ On the other hand, we want 90% of the garments in the shipment to pass the inspection. Now, 90% of the total is $$90\%\cdot T = 0.9\cdot 30 = 27.$$ So far, 18 garments have passed the inspection, so we need 9 more to pass.

So, the correct answer is the option _B_.

Regards.

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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

by swerve » Wed Apr 17, 2019 9:17 am

$B = 9$

$\frac{2}{3}x= 20$
$x=30$

For $90%$ approval we need $27$ garments approved.

Already approved $= 18$

We need $9$ more. hence __B__

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Apr 19, 2019 9:04 am

Gmat_mission wrote:When 2/3 of the garments in the 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

[spoiler]OA=B[/spoiler]

Source: GMAT Paper Tests

We can let n = the total number of garments; thus:

2n/3 = 20

2n = 60

n = 30

90% of the 30 garments is 30 * 0.9 = 27. Thus, 27 - 18 = 9 more garments must pass the inspection to hit a 90% pass ratio.

Answer: B

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GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Apr 19, 2019 9:11 am

Gmat_mission wrote:When 2/3 of the garments in the 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

[spoiler]OA=B[/spoiler]

Source: GMAT Paper Tests