Question

Sanjay has quiz scores of 96%, 89%, 92%, 77%, 100% and 87%. What score does he need to make on the final quiz to have an overall average of 91%?

Answer 1

First (96+89+92+77+100+87+x)/7=91
Then 96+89+92+77+100+87+X = 637
Next 541 + X = 637
Then subtract 541 from both sides
Final answer is x=96

Answer 2

Sanjay needs to make a score of 96% to have an overall average of 91%.

Explanation:

Sanjay has already done six quizzes, whose qualification was of 96%, 89%, 92%, 77%, 100% and 87%, a total of 541 points, thus giving an average of 90.16%. In order to know which qualification should Sanjay reach to have an overall average of 91%, we have to do the following calculation:

(541 (total points of the six previous exams) + X (qualification that Sanjay should achieve)) / 7 (total amount of exams) = 91

(541 + X) / 7 = 91

541 + X = 91 x 7

541 + X = 637

X = 637 - 541

X = 96

Sanjay needs to make a score of 96% to have an overall average of 91%.