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When 2/3 of the garments in the shipment were inspected, 18

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When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 20 Mar 2012, 10:33
3
10
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:24) correct 18% (01:46) wrong based on 326 sessions

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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

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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 20 Mar 2012, 12:45
5
1
enigma123 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


We are told that 18+2=20 of the garments inspected compose 2/3 rd of the shipment, hence the shipment consists of 20/(2/3)=30 garments. We want 90% of the garments to pass inspection, so we need 0.9*30=27 of the garments to pass inspection. For now only 18 of the garments passed inspection, thus 27-18=9 of the garments from uninspected 10 must pass inspection.

Answer: B.
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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 23 Mar 2012, 05:13
B = 9

2/3x= 20
x=30

for 90% approval we need 27 garments approved.
already approved = 18
we need 9 more. hence B.
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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 23 Mar 2012, 05:40
18+ x=27
=> x=9
hence
B
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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 14 Mar 2018, 20:16
Wat do u think is the difficulty level of this question

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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 14 Mar 2018, 21:02
ankykool wrote:
Wat do u think is the difficulty level of this question

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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 19 Apr 2019, 10:07
enigma123 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



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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Re: When 2/3 of the garments in the shipment were inspected, 18   [#permalink] 19 Apr 2019, 10:07
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