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?
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.
Hello, fecoupefe!
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]: .