The K variable is always the factor of proportionality, which will stay the same as long as you are "varying directly" with both the Earth and the Moon. X and Y are the variables for the different weights.
say X = weight on Earth and Y = weight on the Moon. We are given two conditions, one where we know X and Y, and one where we know X, but not Y.
We can plug in the values for the first condition, and we get 24=K*150. Now we only have to solve for K, so we can divide both sides by 150.
24/150 = (K*150)/150
24/150 = K
0.16 = K
Since K is the same for any given weight, we can plug it into the second condition: Y = (0.16)(13) Do simple multiplication next.
Y = 2.08
There we have the moon weight. Also, it doesn't matter if have X = weight on the Moon and Y = weight on Earth rather than how I did it. You should still get the same answer as long as you use the same equation. Your K will end up being 6.25, but you still get the same answer.
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