# 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?

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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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) Since she scored an average of 9 correct answers on the next two quizzes, then: average=(sum of first three quiz scores/2 quizzes) Her average for all five quizzes is then: average=(sum of first three quiz scores/5 quizzes) $=\frac{a+b+c+d+e}{5}=\frac{24+18}{5}=\frac{42}{5}=8.4$