it’s very easy i just need some help please

Question

A person weighs 200 pounds on earth weighs about 32 pounds on the moon. How much would a person weigh on earth if they weighed 15 pounds on the moon?

1.) show the set up of the proportion.

2.) show or explain steps taken to solve.

Answer 1

Hi Hala!

This is how you'd set up the proportion:

weight on earth. weight on earth

––––––––––––––––– = ––––––––––––––––––

weight on moon weight on moon

200 x

––––––– = ––––––

32 15

Now you cross-multiply the numbers and solve for x!

(200)(15) = (32)x

x = 93.75 lbs.

If a person weight 15 lbs on the moon, they would weigh 93.75 lbs on Earth

Answer 2

earth / moon =

200 / 32 = ? / 15

200 ?

----- = ---

32 15

200 * 15 = 32 * ?

3000 = 32 * ?

3000/32 = ?

1500/16 = ?

750/8 = ?

375/4 = ?

93 + 3/4 = ?

93.75 = ?

the other way to do it:

200/32 = 100/16 = 50/8 = 25/4 = 6.25

so 1 pound on the moon EQUALS 6.25 pounds on the earth

15 moon pounds = 15*6.25 = 93.75 on earth