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

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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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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_.

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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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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

Scott Woodbury-Stewart
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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

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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