document.write( "Question 887629: the numbered ball in a certain jar have an average of 12. if ball 28 is removed from the jar, then the average is decreased by 2. how many balls are there originally? \n" ); document.write( "
Algebra.Com's Answer #536767 by Theo(13342)![]() ![]() You can put this solution on YOUR website! not sure if this is right but i did get an answer. \n" ); document.write( "let's see if it makes any sense. \n" ); document.write( "s = sum of numbers on the balls in the jar. \n" ); document.write( "n = number of balls in the jar. \n" ); document.write( "s/n = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the ball with the number 28 on it is removed from the jar, then the average is decreased by 2. \n" ); document.write( "s-28 = sum of numbers on the balls in the jar after the ball with number 28 on it has been removed. \n" ); document.write( "n-1 = number of balls in the jar after the ball with the number 28 on it has been removed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get: \n" ); document.write( "(s-28) / (n-1) = (12-2) which results in: \n" ); document.write( "(s-28) / (n-1) = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have 2 equations to work with. \n" ); document.write( "they are: \n" ); document.write( "s/n = 12 \n" ); document.write( "(s-28)/(n-1) = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the first equation, solve for s to get s = 12*n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the second equation, replace s with 12*n to get: \n" ); document.write( "(s-28)/(n-1) = 10 becomes: \n" ); document.write( "(12*n-28) / (n-1) = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by (n-1) to get: \n" ); document.write( "12*n-28 = 10*(n-1) \n" ); document.write( "simplify to get: \n" ); document.write( "12*n-28 = 10*n - 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 28 to both sides of this equation to get: \n" ); document.write( "12*n = 10*n - 10 + 28 \n" ); document.write( "simplify to get: \n" ); document.write( "12*n = 10*n + 18 \n" ); document.write( "subtract 10*n from both sides of this equation to get: \n" ); document.write( "2*n = 18 \n" ); document.write( "divide both sides of this equation by 2 to get: \n" ); document.write( "n = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that should be your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since s/n = 12 and n = 9, then s/9 = 12 which makes s = 12*9 = 108\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the average is 108 / 9 = 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now take 28 away from the sum and take 1 away from n and you get s-28 = 80 and n-1 = 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the new average is 80/8 = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looks like the answer is correct as far as i can see.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are 9 balls in the jar originally.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |