An empty box weighs 10 % of its total weight when filled with varnish.If the weight of a partly filled box is one-half that of a completely filled box,what fraction of the box is filled?
A.3/5
B.5/9
C.1/2
4.4/9
5.2/5
A box of varnish
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Is question correct??
'An empty box weighs 10 % of its total weight when filled with varnish' This does not make sense to me...or may be I am on wrong lines..
'An empty box weighs 10 % of its total weight when filled with varnish' This does not make sense to me...or may be I am on wrong lines..
stubbornp wrote:An empty box weighs 10 % of its total weight when filled with varnish.If the weight of a partly filled box is one-half that of a completely filled box,what fraction of the box is filled?
A.3/5
B.5/9
C.1/2
4.4/9
5.2/5
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total weight = 100stubbornp wrote:An empty box weighs 10 % of its total weight when filled with varnish.If the weight of a partly filled box is one-half that of a completely filled box,what fraction of the box is filled?
A.3/5
B.5/9
C.1/2
4.4/9
5.2/5
weight of the box = 100*10% = 10
weight of the varnish when the box is fully filled = 100-10 = 90
weight of the partly filled box = 1/2 * completely filled box
completely filled box = 100
1/2 * completely filled box = 100/2 = 50
But we already know that weight of the box is 10
50-10 = 40
fraction of partly filled varnish/ fully filled varnish box = 40/90 = 4/9
It seems you have just finished problem solving from kaplan CD.
Let me know if you still have any doubts.
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This question isn't worded very well. It sounds like it's saying that the box weighs 100% when it's empty but only 10% when it's full of varnish, which definitely doesn't make logical sense.
Agreed, I tripped up on this question because of the poor wording. Though it might be correct grammar, it's not helpful. A better way of looking at it would be that
"A full box of varnish weighs ten times as much as an empty one."
"A full box of varnish weighs ten times as much as an empty one."