Final answer:
The correct answer is option B) 540 pounds. A person weighing 180 pounds on Earth would weigh (180 * 8) / 3 = 480 pounds on Jupiter, which corrects the mistaken option indicated earlier.
Step-by-step explanation:
The correct answer is option B) 540 pounds. To determine the weight of a person on Jupiter, we use the given ratio of weights on Jupiter to Earth, which is 8 to 3. We need to find the equivalent weight on Jupiter for a person weighing 180 pounds on Earth. We set up a proportion as follows:
- Weight on Earth : Weight on Jupiter = 3 : 8
- 180 pounds : Jupiter weight = 3 : 8
To find the weight on Jupiter, we cross-multiply and solve for the weight on Jupiter:
(180 pounds) * 8 = Jupiter weight * 3
Jupiter weight = (180 pounds * 8) / 3
Jupiter weight = 1440 / 3
Jupiter weight = 480 pounds
However, we made a mistake in our previous step. Since the ratio is 8 to 3, the correct weight of a person on Jupiter will actually be (180 pounds * 8) / 3 = 480 pounds * 2 = 960 pounds, not 480 pounds. Hence, the right answer should be calculated again.
Let's correct the calculation:
(180 pounds * 8) / 3 = 480 pounds
Therefore, the correct weight of a person on Jupiter should be 480 pounds.