document.write( "Question 1003706: Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20 matches. \r
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document.write( "How many matches will Anne have to win in a row to improve her winning percentage to 75%?\r
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document.write( "How many matches will Anne have to win in a row to improve her winning percentage to 90%? \n" );
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Algebra.Com's Answer #620347 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20 matches. \n" ); document.write( "---------------------- \n" ); document.write( "How many matches will Anne have to win in a row to improve her winning percentage to 75%? \n" ); document.write( "Let number of new wins be \"x\":: \n" ); document.write( "(12+x)/(12+20+x) = = 0.75 \n" ); document.write( "----- \n" ); document.write( "(12+x)/(32+x) = (3/4) \n" ); document.write( "----- \n" ); document.write( "4(12+x) = 3(32+x) \n" ); document.write( "48 + 4x = 96 + 3x \n" ); document.write( "x = 48 (number of new wins) \n" ); document.write( "------------------------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "How many matches will Anne have to win in a row to improve her winning percentage to 90%? \n" ); document.write( "(12+x)/(32+x) = 0.9 \n" ); document.write( "---- \n" ); document.write( "10(12+x) = 9(32+x) \n" ); document.write( "----- \n" ); document.write( "120 + 10x = 288 + 9x \n" ); document.write( "----- \n" ); document.write( "x = 68 (number of new wins) \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |