An empty 5-gal water jug weights 0.75lb. with 3 c of water inside, the jug weighs 2.25 lbs. Predict the weight of the jug with 5 c of water inside.
Plz explain how to do this.....
I would find the weight of the 3 cup water...
Do that by subtracting the empty weight from the final weight.
Now, find the weight of 1 cup...divide the weight of 3 cup by 3.
Now to find the weight of 5c, ...
2.25 - 0.75 = 1.5 lbs.
1.5 / 3 = 0.5
If one cup weighs 0.5 lbs., how much does 5 c weigh?
Add the weight of 5 c to the weight of the empty jub.
To solve this problem, we need to determine the weight of the water and the weight of the empty jug separately and then add them together.
1. Calculate the weight of the water:
- We know that the jug weighs 0.75 lb when it is empty.
- Given that the jug weighs 2.25 lb with 3 cups of water inside, we can subtract the weight of the empty jug to get the weight of the water:
Weight of the water = Total weight - Weight of the empty jug
= 2.25 lb - 0.75 lb
= 1.5 lb
2. Calculate the weight of the water per cup:
- We can divide the weight of the water by the number of cups to find how much each cup of water weighs:
Weight of the water per cup = Weight of the water / Number of cups
= 1.5 lb / 3 cups
= 0.5 lb/cup
3. Calculate the weight of the jug with 5 cups of water inside:
- We'll multiply the weight of one cup of water by the number of cups:
Weight of the water = Weight of the water per cup x Number of cups
= 0.5 lb/cup x 5 cups
= 2.5 lb
4. Add the weight of the empty jug and the weight of the water together to get the total weight of the jug with 5 cups of water inside:
Total weight = Weight of the empty jug + Weight of the water
= 0.75 lb + 2.5 lb
= 3.25 lb
Therefore, the predicted weight of the jug with 5 cups of water inside is 3.25 pounds.
To solve this problem, we need to understand the relationship between the weight of the jug and the amount of water it contains.
Let's analyze the information given:
1. An empty 5-gallon water jug weighs 0.75 lbs.
2. With 3 cups of water inside, the jug weighs 2.25 lbs.
From this, we can determine that the weight of the water itself is 2.25 lbs - 0.75 lbs = 1.5 lbs.
Now that we know the weight of the water when the jug is filled with 3 cups, we can determine the weight of 1 cup of water. Since 3 cups of water weigh 1.5 lbs, 1 cup of water weighs 1.5 lbs / 3 cups = 0.5 lbs.
Finally, to find out the weight of the jug when it contains 5 cups of water, we can multiply the weight of 1 cup of water by the number of cups.
Weight of 5 cups of water = 0.5 lbs/cup * 5 cups = 2.5 lbs.
Therefore, the predicted weight of the jug with 5 cups of water inside is 2.5 lbs.