Problema Solution

Suppose your average, after taking 3 quizzes, is 71 (out of 100). What must your average be on the next 6 quizzes to increase your average to 89 out of 100?

Required average

Answer provided by our tutors

let


A = the sum of the points scored on the first 3 quizzes

B = the sum of the points scored of the next 6 quizzes


A/3 = 71


(A + B)/9 = 89


by solving the above system we find


B = 588


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the average of the next 6 quizzes is B/6 that is 588/6 = 98.