A jar filled with water weighs 10 pounds. When one-half of the water is poured out, the jar and remaining water weigh 5 3/4 pounds. How much does the jar weigh?

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- October 14th 2008, 07:52 PMfecoupefeweighing?
A jar filled with water weighs 10 pounds. When one-half of the water is poured out, the jar and remaining water weigh 5 3/4 pounds. How much does the jar weigh?

- October 14th 2008, 07:58 PMProve It
Let j = weight of jar

Let w = weight of water when jar is full

So we get the following system of equations

.

Multiply the second equation by 2, and the system of equations becomes

Subtract the first equation from the second, you get

.

So the weight of the jar is 1.5 pounds. - October 14th 2008, 08:04 PMSoroban
Hello, fecoupefe!

Quote:

A jar filled with water weighs 10 pounds.

When one-half of the water is poured out, the jar and remaining water weigh 5¾ pounds.

How much does the jar weigh?

Let = weight of the jar.

Let = weight of the water.

We have: .

Subtract : .

Substitute into [1]: .