SOLUTION: a professor grades students on three test, four quizzes, and a final exam. Each test counts as two quizzes and the final exam counts as two tests. Sara has test scores of 85,75,and

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a professor grades students on three test, four quizzes, and a final exam. Each test counts as two quizzes and the final exam counts as two tests. Sara has test scores of 85,75,and      Log On


   

Question 604441: a professor grades students on three test, four quizzes, and a final exam. Each test counts as two quizzes and the final exam counts as two tests. Sara has test scores of 85,75,and 90. quiz scores are 96,88,60, and 76. her final exam score is 85. use the weighted mean formula to find Sara's average for the course.
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
total score = (85 + 75 + 90)*2 + (96 + 88 + 60 + 76) + 85*2*2
total score = 250*2 + 320 + 340 = 500 + 320 + 340 = 1160

average = 1160/(3*2 + 4 + 1*2*2) = 1160/(6 + 4 + 4) = 1160/14 = 82.8571 = 83

so, Sara's average score is 83