To determine how much a 155-lb woman would weigh on the Moon, we need to understand the relationship between the weight on Earth and the weight on the Moon. Let's break this down step by step.
1. Identify Known Weights:
- A person weighs 110 lb on Earth.
- That same person weighs 19.4 lb on the Moon.
2. Calculate the Weight Ratio:
- We need to find the ratio of Moon weight to Earth weight for the given weights.
[tex]\[
\text{Weight Ratio} = \frac{\text{Weight on Moon}}{\text{Weight on Earth}} = \frac{19.4 \text{ lb}}{110 \text{ lb}}
\][/tex]
3. Determine the Weight Ratio:
- After calculating the above ratio:
[tex]\[
\text{Weight Ratio} = 0.17636363636363636
\][/tex]
4. Apply the Weight Ratio to the New Earth Weight:
- We are given a new Earth weight of 155 lb and we need to determine the corresponding weight on the Moon using this ratio.
[tex]\[
\text{Weight on Moon} = \text{Weight on Earth} \times \text{Weight Ratio} = 155 \text{ lb} \times 0.17636363636363636
\][/tex]
5. Calculate the Moon Weight:
- Performing the multiplication:
[tex]\[
\text{Weight on Moon} = 27.336363636363636 \text{ lb}
\][/tex]
Therefore, a woman who weighs 155 lb on the Earth would weigh approximately 27.34 lb on the Moon.
