Question

1. a 120 lb person would weigh about 20 lb on earths moon. a 150 lb person would weigh 30 lb on the moon of jupiter. use ratio tables to determine which moon would make a person weigh the most.

a) use the ratio tables to determine who the faster swimmer is.
b) explain the method that you used to determine your answer.

Explanation:

Step1: Find the weight - to - weight ratio on Earth's moon

We know that a 120 - lb person weighs 20 lb on Earth's moon. The ratio of weight on Earth to weight on Earth's moon is $\frac{120}{20}=6$. That is, a person's weight on Earth is 6 times their weight on Earth's moon.

Step2: Calculate the weight on Earth's moon for a 150 - lb person

Let $x$ be the weight of a 150 - lb person on Earth's moon. Using the ratio $\frac{150}{x}=6$. Solving for $x$, we get $x=\frac{150}{6}=25$ lb.

Step3: Find the weight - to - weight ratio for Jupiter's moon

We know that a 150 - lb person weighs 30 lb on Jupiter's moon. The ratio of weight on Earth to weight on Jupiter's moon is $\frac{150}{30}=5$. That is, a person's weight on Earth is 5 times their weight on Jupiter's moon.

Step4: Compare the ratios

Since $6>5$, a person would weigh more on Earth's moon.

Answer:

A person would weigh more on Earth's moon.