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# At a certain factory, the average (arithmetic mean) wage of 20 of the

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Math Expert
Joined: 02 Sep 2009
Posts: 55228
At a certain factory, the average (arithmetic mean) wage of 20 of the  [#permalink]

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25 Sep 2018, 04:55
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Difficulty:

25% (medium)

Question Stats:

100% (01:44) correct 0% (00:00) wrong based on 7 sessions

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At a certain factory, the average (arithmetic mean) wage of 20 of the workers is $25,000, the average wage of 25 other workers is$20,000, and the average wage of the remaining 5 workers is $100,000. What is the average wage of the 50 workers at the company? (A)$25,000
(B) $30,000 (C)$35,000
(D) $50,000 (E)$75,000

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Joined: 07 Aug 2018
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Location: United States (MA)
GMAT 1: 560 Q39 V28
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At a certain factory, the average (arithmetic mean) wage of 20 of the  [#permalink]

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27 Sep 2018, 07:16
$$\frac{x}{20}$$=$$25$$
-->$$x=500$$

$$\frac{y}{25}$$=$$20$$
-->$$y=500$$

$$\frac{z}{5}$$=$$100$$
-->$$z=500$$

$$\frac{x+y+z}{50}$$ --> $$\frac{1500}{50}$$ --> $$30$$

Hence, B.
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At a certain factory, the average (arithmetic mean) wage of 20 of the   [#permalink] 27 Sep 2018, 07:16
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