On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?

coexpennan 2020-12-02 Answered
On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?
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Expert Answer

jlo2niT
Answered 2020-12-03 Author has 96 answers

Let a, b, and c be her scores on the first three quizzes and dd and ee be her scores on the next two quizzes. Since she scored an average of 8 correct answers on her first three quizzes, then: average=(sum of first three quiz scores/3 quizzes) 8=a+b+c3 24=(a+b+c) Since she scored an average of 9 correct answers on the next two quizzes, then: average=(sum of first three quiz scores/2 quizzes) 9=d+e2 18=(d+e) Her average for all five quizzes is then: average=(sum of first three quiz scores/5 quizzes) =a+b+c+d+e5=24+185=425=8.4

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