SOLUTION: A total of 50 juniors and seniors took a math test. The 35 juniors attained an average of 80 while the 15 seniors attained a 70. What was the average score for all 50 students who

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Question 133419: A total of 50 juniors and seniors took a math test. The 35 juniors attained an average of 80 while the 15 seniors attained a 70. What was the average score for all 50 students who took the test?
Answer by solver91311(24713) About Me  (Show Source):
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If 35 juniors averaged 80, the total of all their scores must have been 35%2A80=2800. Likewise, the total of all the seniors' scores must have been 15%2A70=1050. So the total of all 50 students' scores is 2800%2B1050=3850, and the average is 3850%2F50=77