SOLUTION: Before the final exam, a student has 5 test scores of equal weight: 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student re

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Question 231957: Before the final exam, a student has 5 test scores of equal weight: 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student receive in order to have a final average of 76?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Before the final exam, a student has 5 test scores of equal weight: 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student receive in order to have a final average of 76?
:
Let x = final grade
:
Find the average of the 5 test scores
%2872%2B80%2B65%2B78%2B60%29%2F5 = 71
:
This counts as 2/3, twice as much as the final which is 1/3
:
%282%2871%29+%2B+x%29%2F3 = 76
142 + x = 3(76)
x = 228 - 142
x = 86 to have an average of 76