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Each of the students in a class either has 3 pencils and 1

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Senior Manager
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Each of the students in a class either has 3 pencils and 1 [#permalink] New post 27 Apr 2006, 22:49
Each of the students in a class either has 3 pencils and 1 pen or has 1 pencil and 2 pens. The average of pencils in total class is 1.6, what is the average of pen?
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Re: Average of pen and pencil [#permalink] New post 28 Apr 2006, 00:12
getzgetzu wrote:
Each of the students in a class either has 3 pencils and 1 pen or has 1 pencil and 2 pens. The average of pencils in total class is 1.6, what is the average of pen?


I get:

x=students in a class that have 3 pencils and 1 pen
y=students in a class that have 1 pencil and 2 pen

3x + y = 1.6(x+y)

so 1.4x = 0.6y
7x=3y

so we could have x=3
y=7

and then solve for x+2y = z(x+y)
3+14 = z(10)

so z= 1.7

so average of pen 1.7
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 [#permalink] New post 28 Apr 2006, 00:20
Concur with conocieur's working.
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Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

  [#permalink] 28 Apr 2006, 00:20
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Each of the students in a class either has 3 pencils and 1

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