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# An empty box weighs 10% of its total weight when filled with

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An empty box weighs 10% of its total weight when filled with [#permalink]

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26 May 2007, 00:04
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An empty box weighs 10% of its total weight when filled with varnish. If the weight of a partly filled box is 1/2 of a completely filled box, what fraction of the box is filled?

A) 3/5
B) 5/9
C) 1/2
D) 4/9
E) 2/5

Last edited by Caas on 26 May 2007, 00:22, edited 1 time in total.
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26 May 2007, 09:34
In this problem substitution works well.

lets make it 100 pounds.

this means that there is a total of 90 pounds material and 10 pounds package.

if the weight is half, then we have 50 pounds-10 pounds of packaging equals 40 pounds.

40 pounds over 90 pounds equals 4/9
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26 May 2007, 21:49
defenestrate wrote:
In this problem substitution works well.

lets make it 100 pounds.

this means that there is a total of 90 pounds material and 10 pounds package.

if the weight is half, then we have 50 pounds-10 pounds of packaging equals 40 pounds.

40 pounds over 90 pounds equals 4/9

Thank you! It's a good method!
I solved it using equations and it took me long...
26 May 2007, 21:49
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# An empty box weighs 10% of its total weight when filled with

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