SOLUTION: Bill had an 84 and an 86 on his first two tests and believed that he did well enough on his final exam to keep his B average. However, when he got his grade he received a D. He c

Algebra ->  Average -> SOLUTION: Bill had an 84 and an 86 on his first two tests and believed that he did well enough on his final exam to keep his B average. However, when he got his grade he received a D. He c      Log On


   

Question 1070033: Bill had an 84 and an 86 on his first two tests and believed that he did well enough on his final exam to keep his B average. However, when he got his grade he received a D. He checked with his teacher and learned that the teacher had made a mistake by transposing the digits when he recorded the final exam grade. If Bill's incorrect average (mean) for the class was 69 what was his correct final exam score?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Bill had an 84 and an 86 on his first two tests and believed that he did well enough on his final exam to keep his B average.
However, when he got his grade he received a D.
He checked with his teacher and learned that the teacher had made a mistake by transposing the digits when he recorded the final exam grade.
If Bill's incorrect average (mean) for the class was 69 what was his correct final exam score?
:
Find the transposed score (x)
%28%2884%2B86%2Bx%29%29%2F3 = 69
170 + x = 3(69)
x = 207 - 170
x = 37 so the actual score was 73
:
:
That would give him an average of
%28%28170%2B73%29%29%2F3 = 81