SOLUTION: a total of 50 juniors and seniors were given a math test. the 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score

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Question 503991: a total of 50 juniors and seniors were given a math test. the 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The average is
( total of all scores) / ( number of tested students)
given:
Number of tested students = 50
Total of scores by juniors = +35%2A80+=+2800+
Total of scores by seniors = +15%2A70+=+1050+
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+%28+2800+%2B+1050+%29+%2F+50+=+3850%2F50+
+3850%2F50+=+77+
Average of all 50 students = 77
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Notice that the average in NOT the average of
the 2 averages, which would be +%28+80+%2B+70+%29%2F2+=+75+