SOLUTION: The quantities S and T are positive and are related by the equation S=k/T, where k is a constant. If the value of S increases by 50 percent, then the value of T decreases by what p

Question 510688: The quantities S and T are positive and are related by the equation S=k/T, where k is a constant. If the value of S increases by 50 percent, then the value of T decreases by what percent?
I figured 50% but the correct answer is 33 1/3%. I cannot figure out how.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for .

Increase S by 50% to get so now you have:
Simplify the right side.
= so...
has decreased by or %
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