A five gallon jug is 41.5pounds heaiver when it is full of water, than when it is empty. How much does the water weigh per gallon.
41.5/5=8.3lb
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To determine the weight of the water per gallon, we need to calculate how much the water weighs compared to the weight difference of the jug when it is empty and full.
Let's denote:
W = Weight of water per gallon
X = Weight of the empty jug
Y = Weight of the full jug
From the given information, we know that the full jug is 41.5 pounds heavier than the empty jug. Mathematically, we can express this as:
Y - X = 41.5
Additionally, we know that a full jug contains 5 gallons of water. Hence, the weight of the water in the jug can be expressed as:
5W
By combining both equations, we get:
Y - X = 5W
Now, to find the weight of the water per gallon, we rearrange this equation to solve for W:
W = (Y - X) / 5
Since we are given that the weight of the empty jug is X, we need this information to proceed with the calculation.