document.write( "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?\r
\n" ); document.write( "\n" ); document.write( "I figured 50% but the correct answer is 33 1/3%. I cannot figure out how.
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Algebra.Com's Answer #341854 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
\"S%5B1%5D+=+k%2FT%5B1%5D\" Solve for \"T%5B1%5D\".
\n" ); document.write( "\"T%5B1%5D+=+k%2FS%5B1%5D\"
\n" ); document.write( "Increase S by 50% to get \"S%5B2%5D+=+%283%2F2%29S%5B1%5D\" so now you have:
\n" ); document.write( "\"T%5B2%5D+=+k%2F%283%2F2%29S%5B1%5D\" Simplify the right side.
\n" ); document.write( "\"T%5B2%5D+=+%282%2F3%29%28k%2FS%5B1%5D%29\"=\"%282%2F3%29T%5B1%5D\" so...
\n" ); document.write( "\"T%5B1%5D\" has decreased by \"1%2F3%29\" or \"33\"\"1%2F3\"%
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