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# Forty applicants for a job had 252 years of experience between them.

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Math Expert
Joined: 02 Sep 2009
Posts: 52157
Forty applicants for a job had 252 years of experience between them.  [#permalink]

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27 Dec 2017, 00:02
00:00

Difficulty:

55% (hard)

Question Stats:

61% (01:55) correct 39% (02:23) wrong based on 27 sessions

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Forty applicants for a job had 252 years of experience between them. 13 had an average of 4 years of experience. Sixteen had an average of 7 years experience. What was the average (arithmetic mean) amount of experience of the rest of the applicants?

A. 6
B. 7.4
C. 8
D. 8.6
E. 9

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Joined: 07 Dec 2017
Posts: 867
Re: Forty applicants for a job had 252 years of experience between them.  [#permalink]

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27 Dec 2017, 00:27
Bunuel wrote:
Forty applicants for a job had 252 years of experience between them. 13 had an average of 4 years of experience. Sixteen had an average of 7 years experience. What was the average (arithmetic mean) amount of experience of the rest of the applicants?

A. 6
B. 7.4
C. 8
D. 8.6
E. 9

Since the answers are very close together we have no choice but to go for a straightforward calculation.
This is a Precise approach.

13*4 = 52 and 16*7 = 112
So 29 applicants had a total of 52+112=164 years of experience
The remaining 11 had a total of 252 - 164 =88 years of experience.
Then each had 88/11 = 8 years of experience on average.

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Joined: 24 Nov 2016
Posts: 152
Re: Forty applicants for a job had 252 years of experience between them.  [#permalink]

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28 Dec 2017, 02:57
Bunuel wrote:
Forty applicants for a job had 252 years of experience between them. 13 had an average of 4 years of experience. Sixteen had an average of 7 years experience. What was the average (arithmetic mean) amount of experience of the rest of the applicants?

A. 6
B. 7.4
C. 8
D. 8.6
E. 9

$$Average=\frac{Total.Years}{Applicants}=\frac{252}{40}$$

$$\frac{252}{40}=\frac{(13*4)+(16*7)+(11*x)}{40}$$, $$252=(52)+(112)+(11*x)$$, $$\frac{252-(164)}{11}=x$$, $$x=8$$

Re: Forty applicants for a job had 252 years of experience between them. &nbs [#permalink] 28 Dec 2017, 02:57
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