document.write( "Question 298139: if the coach of a team of eight is counted as a member of a team, the average mass of all 9 people is 79kg. if he is not counted as a meber, the average is 81.5 k. What s the mass of the coach? \n" ); document.write( "
Algebra.Com's Answer #214567 by nerdybill(7384) You can put this solution on YOUR website! if the coach of a team of eight is counted as a member of a team, the average mass of all 9 people is 79kg. if he is not counted as a meber, the average is 81.5 k. What s the mass of the coach? \n" ); document.write( ". \n" ); document.write( "Let x = mass of coach \n" ); document.write( "and y = mass of team \n" ); document.write( "then \n" ); document.write( "(x+y)/9 = 79 (equation 1) \n" ); document.write( "y/8 = 81.5 (equation 2) \n" ); document.write( ". \n" ); document.write( "solve equation 2 for y: \n" ); document.write( "y/8 = 81.5 \n" ); document.write( "y = 81.5*8 \n" ); document.write( "y = 652 \n" ); document.write( ". \n" ); document.write( "Substitute the above into equation 1 and solve for x: \n" ); document.write( "(x+y)/9 = 79 \n" ); document.write( "(x+652)/9 = 79 \n" ); document.write( "x+652 = 79*9 \n" ); document.write( "x+652 = 711 \n" ); document.write( "x = 59 kg\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |