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

Respuesta :

Answer:

1.67 pounds

Step-by-step 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.

            [tex]\frac{105}{175}[/tex] = [tex]\frac{1}{n}[/tex]

Step 3: Cross multiply.

            105 x n = 175 x 1

            105n = 175

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

            n = [tex]\frac{175}{105}[/tex]

            n = 1.666 or 1.67 pounds (lowest term)

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