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# The 84 workers at a certain plant are either semi-skilled or

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Manager
Joined: 14 Dec 2004
Posts: 116
The 84 workers at a certain plant are either semi-skilled or  [#permalink]

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02 Apr 2005, 10:06
The 84 workers at a certain plant are either semi-skilled or skilled. Semi-skilled workers earn \$12000 per year, while skilled workers earn \$18000 per year. If each worker in the plant is given a productivity bonus equal to 3 percent of their annual wage, and the total amount of money awarded in these bonuses was \$32760, what percent of the workers at the plant are skilled?

A 8%
B 16.666%
C 20%
D 25%
E 33.3333%

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Manager
Joined: 13 Oct 2004
Posts: 236

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02 Apr 2005, 11:07
B. 16.67%
14 workers are skilled.
Manager
Joined: 28 Jan 2004
Posts: 191
Location: Ghana

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02 Apr 2005, 12:26
Sure is B. that was quite an easy one
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Manager
Joined: 07 Mar 2005
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02 Apr 2005, 22:27
S= SEMI SKILLED
360S + 540(84-S)=32760

S=70
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Senior Manager
Joined: 30 Dec 2004
Posts: 289
Location: California

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03 Apr 2005, 12:21
1
Easy question but I made a lot of careless mistakes along the way to get to the right answer...hopefully this is not the way it happens when I take it again: Answer is B..here's my reasoning

Skilled = A Not Skilled = B

A+B = 84

(3% of 18000)A + (3% of 12000)B = 32760

If you reduce it down that becomes:

3A + 2B = 182
2A + 2B = 168 (From first equation)

A = 14 which is the number of skilled workers

Therfore the percentage of skilled workers = 14/84*100 = 1/6 * 100 = B
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Re: The 84 workers at a certain plant are either semi-skilled or  [#permalink]

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29 Sep 2017, 02:24
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Re: The 84 workers at a certain plant are either semi-skilled or &nbs [#permalink] 29 Sep 2017, 02:24
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