SOLUTION: please answer this. The weight W of an object on Mars is directly proportional to its weight B on earth. A man who weights 118.75 kg on earth weights 47.5 kg on Mars. Find the w

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Question 389539: please answer this.
The weight W of an object on Mars is directly proportional to its weight B on earth. A man who weights 118.75 kg on earth weights 47.5 kg on Mars. Find the weight of a man on Mars if he weights 98 kg.
thank you :3
Answer by gwendolyn(128) About Me  (Show Source):
You can put this solution on YOUR website!
If the weights are directly proportional, the ratio (weight on earth):(weight on mars) will always be the same. So, using the data points we are given:
118.75%2F47.5+=+98%2FW
2.5+=+98%2FW
Multiply both sides by W to get it out of the denominator:
2.5%2AW+=+%2898%2FW%29%2AW
Cross out the Ws on the left because they are just multiplying by 1:
2.5*W = 98
Divide both sides by 2.5 to solve for W:
%282.5%2AW%29%2F2.5+=+98%2F2.5
Cross out the 2.5/2.5 and do the division:
W = 39.2