document.write( "Question 289043: Ben has won 20% more chess matches than Amy,while Amy has won 25% more chess matches than Mary Kay. By what percent does the number that Ben has won exceed the number that Mary Kay has won?\r
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document.write( "(1) 40% (2) 45% (3) 50% (4) 55% (5) None of the above \n" );
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Algebra.Com's Answer #209515 by Grinnell(63)![]() ![]() ![]() You can put this solution on YOUR website! First we are dealing with percentages and their relationships. \n" ); document.write( "We are not dealing with the actual 'number' of games. \n" ); document.write( "When dealing with 'take a number' or 'only percentages' \n" ); document.write( "it is ALWAYS the rule of thumb to use the number one hundred--100!!!!!!!!! \n" ); document.write( "This keeps things simple. \n" ); document.write( "Now watch this!....Why don't we let the number Mary Kay won be 100?? \n" ); document.write( "WE CAN DO THIS. N O W do you see how this gets simpler? \n" ); document.write( "Now what is 25% of 100? 25! add this to 100 we get 125 games that Amy won. \n" ); document.write( "Now what is 20% of 125? 25! Add this to 125 we get 150 games that Ben won. \n" ); document.write( "NOW WE GO BACK TO SEE (AGAIN WHAT THE PROBLEM IS ASKING FOR) \n" ); document.write( "The number Ben has won exceeds the number Mary Kay has won by 50 games. \n" ); document.write( "50 games/100 games = a 50% increase. Ben has won 50% more games than Mary Kay has won. \n" ); document.write( "50% is your answer! \r \n" ); document.write( "\n" ); document.write( "Question: If you reduce 'a number' by 20%, what PERCENTAGE of the remaining number must be added \n" ); document.write( "to the remaining number to get the ORIGINAL number? REMEMBER THE RULE OF THUMB!!!! Let the original number be 100. 20% of this is 80. WHAT % OF 80 MUST BE ADDED to 80 to get 100----25%!! {20/80=25%} REMEMBER TO TRY TO USE THE NUMBER 100 WHENEVER POSSIBLE. \r \n" ); document.write( "\n" ); document.write( "'A NUMBER' HOLDS TRUE FOR ALL NUMBERS--WE JUST DECIDED TO CHOOSE 100--TO MAKE THINGS EASIER!!!!! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |