SOLUTION: A total of 50 juniors and seniors were given a mathematics test. 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. what is the average scor
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Question 619231: A total of 50 juniors and seniors were given a mathematics test. 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. what is the average score of all 50 students who took the test?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
35 * 80 + 15 * 70 = 3850
3850 / 50 = 77
overall weighted average is equal to 77
77 * 50 = 3850
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3850 is the total score of all the students.
3850 / 50 is the overall average
the weighted average times the total number is equal to the total score.
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