Due to differences in gravity, a $100$-pound person on Earth would weigh about $38$ pounds on Mars and $17$ pounds on the moon.  

1. What would a $150$-pound person on Earth weigh on Mars? Explain your reasoning with words or a diagram.

   Hint (a):

   How much would a $50$-pound person on Earth weigh on Mars? Note that $50$ pounds is half of 100 pounds, therefore the person's weight on Mars and on the moon should be halved.

   Help (a):

   Now note that $150$ is triple $50$. What should the person's weight on Mars be?

   Answer (a):

   $57$ pounds.

2. What would a $50$-pound person on Earth weigh on the moon? Explain your reasoning with words or a diagram.

   Hint (b):

   See part (a).

   Answer (b):

   $8.5$ pounds.

3. Additional Challenge: If an astronaut on the moon weighed about $34$ pounds, what would that astronaut weigh on Mars? Show how you know.

   Hint (c):

   Note that $34$ pounds is double $17$ pounds. Doubling the weight of a $100$-pound person on Earth should give you the weight of the astronaut on Earth.