Answer :
To solve this problem, we need to calculate the weight of an object on Venus and on Jupiter, then find the difference between these weights.
1. Weight of the object on Venus:
Given that the weight of an object on Venus is approximately \(\frac{9}{10}\) of its weight on Earth, if the object weighs 100 pounds on Earth, we can find its weight on Venus as follows:
[tex]\[ \text{Weight on Venus} = \frac{9}{10} \times 100 = 90 \text{ pounds} \][/tex]
2. Weight of the object on Jupiter:
Given that the weight of an object on Jupiter is approximately \(\frac{23}{10}\) of its weight on Earth, if the object weighs 100 pounds on Earth, we can find its weight on Jupiter as follows:
[tex]\[ \text{Weight on Jupiter} = \frac{23}{10} \times 100 = 230 \text{ pounds} \][/tex]
3. Difference between the weight on Jupiter and the weight on Venus:
We now need to find how many more pounds the object weighs on Jupiter than on Venus. This difference can be calculated as:
[tex]\[ \text{Weight difference} = \text{Weight on Jupiter} - \text{Weight on Venus} = 230 \text{ pounds} - 90 \text{ pounds} = 140 \text{ pounds} \][/tex]
Thus, the object weighs 140 pounds more on Jupiter than it does on Venus. Therefore, the correct answer is [tex]\( \boxed{140} \)[/tex].
1. Weight of the object on Venus:
Given that the weight of an object on Venus is approximately \(\frac{9}{10}\) of its weight on Earth, if the object weighs 100 pounds on Earth, we can find its weight on Venus as follows:
[tex]\[ \text{Weight on Venus} = \frac{9}{10} \times 100 = 90 \text{ pounds} \][/tex]
2. Weight of the object on Jupiter:
Given that the weight of an object on Jupiter is approximately \(\frac{23}{10}\) of its weight on Earth, if the object weighs 100 pounds on Earth, we can find its weight on Jupiter as follows:
[tex]\[ \text{Weight on Jupiter} = \frac{23}{10} \times 100 = 230 \text{ pounds} \][/tex]
3. Difference between the weight on Jupiter and the weight on Venus:
We now need to find how many more pounds the object weighs on Jupiter than on Venus. This difference can be calculated as:
[tex]\[ \text{Weight difference} = \text{Weight on Jupiter} - \text{Weight on Venus} = 230 \text{ pounds} - 90 \text{ pounds} = 140 \text{ pounds} \][/tex]
Thus, the object weighs 140 pounds more on Jupiter than it does on Venus. Therefore, the correct answer is [tex]\( \boxed{140} \)[/tex].
