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An empty mental box weights 10 percent of its total weight [#permalink]

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13 Nov 2006, 14:39

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An empty mental box weights 10 percent of its total weight when filled with varnish. if the weight of a partly filled box is one-half taht of a completely filled box, what fraction of the box is filled?

An empty mental box weights 10 percent of its total weight when filled with varnish. if the weight of a partly filled box is one-half taht of a completely filled box, what fraction of the box is filled?

I think we need to go one more step ahead...
Here we got the weight of the partly filled box = 2x/5
So the fraction is = partly filled weight / total weight = (2x/5)/(9x/10) = 4/9

An empty mental box weights 10 percent of its total weight when filled with varnish. if the weight of a partly filled box is one-half taht 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

W = W/2
WE = 0.1WF
WE + K = WF / 2
0.1WF + K = WF / 2
2K = WF â€“ 0.1WF
2K = 0.9WF
K = 0.9WF / 2
K = 0.45WF

Approx:
A = 15%
B = 55%
C = 50%
D = 44% CLOSED ANSWER D
E = 10%