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# In an office, 40 percent of the workers have at least 5

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Manager
Joined: 07 Jul 2003
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In an office, 40 percent of the workers have at least 5 [#permalink]  10 Feb 2004, 13:53
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Senior Manager
Joined: 05 May 2003
Posts: 427
Location: Aus
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[#permalink]  10 Feb 2004, 14:04
48 ??

No of workers who have atleast 10 years of exp = 16
% of workers who have less than 10 years = 90%

So, the total number of workers is 10%(x)= 16
x= 160

40%(160) = 64

Then subtract 16 from 64.
GMAT Club Legend
Joined: 15 Dec 2003
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[#permalink]  10 Feb 2004, 14:21
Agree with 48. Used a diagram:

---- <10 ---- >10 ---- Total

<5 ---- 96 ---- N/A ---- 96

>5 ---- 48 ---- 16 ---- 64

Total - 144 ---- 16 ---- 160
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Joined: 30 Oct 2003
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Location: NewJersey USA
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[#permalink]  10 Feb 2004, 15:21
Got 48 as well.

0.4T = workers >=5 years so
0.6T = worker <5 years

0.4T = (6-9) years + (>10 years)

From the stem >10 years = 16

So (6-9) years = 0.4T - 16
Also from the stem
0.9T = (6-9) years + <5 years
0.9T = 0.4T-16 + 0.6T
T = 160

0.4 * 160 = (6-9) years + 16
Hence
(6-9) years = 64-16 = 48
Manager
Joined: 28 Jan 2004
Posts: 203
Location: India
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[#permalink]  11 Feb 2004, 00:04
48. Exactly the same solution as Geethu's.
Thats the easiest way to do this.
[#permalink] 11 Feb 2004, 00:04
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# In an office, 40 percent of the workers have at least 5

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