Question

A person who weighs 105 pounds on Earth weighs 175 pound on the moon How much does a pound person weigh on the moon?

Answer 1

1.67 pounds

Explanation:

The problem above can be solved by using "direct proportion." This proportion shows that as one quantity increases, the other quantity increases and vice-versa.

Step 1: Represent the weight of the person on the moon by n.

Step 2: Set up a proportion.

`(105)/(175)` =
`(1)/(n)`

Step 3: Cross multiply.

105 x n = 175 x 1

105n = 175

Step 4: Find n by dividing both sides by 105.

n =
`(175)/(105)`

n = 1.666 or 1.67 pounds (lowest term)

A pound of person on Earth will weigh 1.67 pounds on the moon.