document.write( "Question 199153: In her latest game, Ann bowled 199 and raised her average from 177 to 178. To raise her average to 179 with the next game, she must bowl:\r
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document.write( "a. 179 b. 180 c. 200 d. 201 e. None of these \n" );
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Algebra.Com's Answer #149638 by Alan3354(69443) You can put this solution on YOUR website! In her latest game, Ann bowled 199 and raised her average from 177 to 178. To raise her average to 179 with the next game, she must bowl:\r \n" ); document.write( "\n" ); document.write( "a. 179 b. 180 c. 200 d. 201 e. None of these \n" ); document.write( "-------------- \n" ); document.write( "Avg = sum of scores/# of games \n" ); document.write( "A = S/n \n" ); document.write( "177 = S/n --> S = 177n \n" ); document.write( "178 = (S+199)/(n+1) \n" ); document.write( "Sub for S \n" ); document.write( "178 = (177n+199)/(n+1) \n" ); document.write( "178*(n+1) = 177n+199 \n" ); document.write( "178n+178 = 177n+199 \n" ); document.write( "n = 21 (# of games averaged) \n" ); document.write( "S = 22*178 = 3916 (after 22 games) \n" ); document.write( "--------------- \n" ); document.write( "The next game will be #23 \n" ); document.write( "23*179 = 4117 (23 games times 179 avg) \n" ); document.write( "4117-3916 = 201 \n" ); document.write( " \n" ); document.write( " |