SOLUTION: 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

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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?
Answer by nerdybill(7384) About Me  (Show Source):
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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?
.
Let x = mass of coach
and y = mass of team
then
(x+y)/9 = 79 (equation 1)
y/8 = 81.5 (equation 2)
.
solve equation 2 for y:
y/8 = 81.5
y = 81.5*8
y = 652
.
Substitute the above into equation 1 and solve for x:
(x+y)/9 = 79
(x+652)/9 = 79
x+652 = 79*9
x+652 = 711
x = 59 kg