The diameter of Earth, about 8,000 miles, is about 4 times the diameter of the moon. What is the approximate diameter of the moon?

1 Answer
Nov 13, 2016

Answer:

The diameter of the moon is approximately 2,000 miles.

Explanation:

First, because we are solving for the approximate diameter of the moon, let's call the variable representing the diameter of the moon #m#.

And let's call the diameter of the Earth #e#.

The problem provides the relationship of the diameter of the Earth compared to the diameter of the moon. If equation for it can be written as:

#e = 4 xx m#

Because the diameter of the Earth (#e = 8000#) is provided we can substitute this into the formula and then solve for the approximate diameter for the moon which we called #m# while keeping the equation balanced.

#8000 = 4 xx m#

#8000/4 = (4 xx m)/4#

#2000 = (4/4) xx m#

#2000 = 1 xx m#

#m = 2000#