SOLUTION: To receive a C grade, a student must average more than 77 but less than or equal to 85. If Noah received a C in the course and had five grades of 79, 85, 75, 66, and 79 before taki

Algebra ->  Inequalities -> SOLUTION: To receive a C grade, a student must average more than 77 but less than or equal to 85. If Noah received a C in the course and had five grades of 79, 85, 75, 66, and 79 before taki      Log On


   



Question 1015548: To receive a C grade, a student must average more than 77 but less than or equal to 85. If Noah received a C in the course and had five grades of 79, 85, 75, 66, and 79 before taking the final exam, what were the possible grades for his final if there were 100 points possible? (Assume all six grades are weighted equally and let x represent the unknown score.)
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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The sum of grades to average 77 is 462. (6 x 77).
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The sum of grades to average 85 is 510 (6 x 85).
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462+%3C+79%2B85%2B75%2B66%2B79%2Bx+%3C=510
462+%3C+384%2Bx+%3C=+510 Subtract 384 all the way through.
78+%3C+x+%3C=+126
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Since he cannot score high enough to average more than 85,
his possible scores are greater than 78. (to 100)