SOLUTION: A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average scorce of 80 while the 15 seniors attained an average of 70. What was the avera

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Question 827719: A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average scorce of 80 while the 15 seniors attained an average of 70.
What was the average score for all 50 students who took the test?
Ans:
A. 73
B. 75
C. 76
D. 77
E. 78

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
For the juniors:
average = ( sum of their scores ) / ( number of juniors )
Sum of their scores = ( average )x( number of juniors )
Sum of their scores =
------------------------------
For the seniors:
average = ( sum of their scores ) / ( number of seniors )
Sum of their scores = ( average )x( number of seniors )
Sum of their scores =
-----------------------------
Average for all the students:
( sum of scores of both juniors and seniors ) / ( number of juniors and seniors )



the answer is (D)

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