SOLUTION: in a class of 25 students the average score is 84. six students in the class each have an average score of 100 and three students each have an average of 60. What is the average sc

Algebra ->  Average -> SOLUTION: in a class of 25 students the average score is 84. six students in the class each have an average score of 100 and three students each have an average of 60. What is the average sc      Log On


   

Question 971065: in a class of 25 students the average score is 84. six students in the class each have an average score of 100 and three students each have an average of 60. What is the average score of the remaining students?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So the sum of all the scores is,
S=84%2A25=2100
For the six students,
%28A%2BB%2BC%2BD%2BE%2BF%29%2F6=100
So,
A%2BB%2BC%2BD%2BE%2BF=600
.
.
For the three students,
%28G%2BH%2BI%29%2F3=60
G%2BH%2BI=180
.
.
Let's call the sum of the remaining students scores, Z.
A%2BB%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BZ=2100
Substituting,
600%2B180%2BZ=2100
780%2BZ=2100
Z=1320
Since there are 25 students, subtract 6, subtract 3 to get the number of students in Z.
N=25-6-3=25-9=16
So then the average of the Z students is,
A=Z%2F16=1320%2F16=highlight%2882.5%29