document.write( "Question 558896: When a number is decreased by 20% of itself, the result is 20. What is the number? \n" ); document.write( "
Algebra.Com's Answer #363256 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x equals the number. \n" ); document.write( "x - .2 * x = 20 \n" ); document.write( "combine like terms to get: \n" ); document.write( ".8 * x = 20 \n" ); document.write( "divide both sides of this equation by .8 to get: \n" ); document.write( "x = 20 / .8 \n" ); document.write( "simplify to get: \n" ); document.write( "x = 25 \n" ); document.write( "confirm by substituting in the original equation. \n" ); document.write( "25 - .2 * 25 = 20 \n" ); document.write( "25 - 5 = 20 \n" ); document.write( "20 = 20 \n" ); document.write( "x is confirmed to be good. \n" ); document.write( "----- \n" ); document.write( "decimal equivalent for 20% is 20% divided by 100% = .2 \n" ); document.write( "x - .2 * x is equivalent to x * (1 - .2) which becomes x * .8 which is the same as .8 * x.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |