balan88 wrote:An empty wooden vessel weighs 10% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
A, 3/5
B, 5/9
c, 1/24
D, 4/9
E, 2/5
Let's plug in some weights that meet the given conditions.
An empty wooden vessel weighs 10% of its TOTAL weight when filled with paint.
Let's say the TOTAL weight is
10 pounds.
This means that the empty wooden vessel weighs
1 pound.
And it means that the vessel can hold up to
9 pounds of paint.
If the weight of a partially filled vessel is one half that of a completely filled vessel....
So, the total weight of the partially filled vessel = 1/2 of
10 = 5 pounds
Since the empty wooden vessel weighs
1 pound, this partially filled vessel holds
4 pounds of paint.
...what fraction of the vessel is filled?
The vessel holds up to
9 pounds of paint.
So, the vessel is
4/
9 filled
Answer:
D
Cheers,
Brent
