There are 16 Students in a class

Question

There are 16 students in a class and two people missed a recent quiz. The class average before the two absent students made up the quiz was 92%. When the two students made up the quiz, one earned a 71%. If the class average was bumped down to 88% with all 16 students, what grade did the other absent student earn on the quiz?

Answer 1

Average is the sum divided by the count. Therefore the sum is the average times the count

There is a total of 16 students.

The average of 14 students is 92. => The total score of the 14 students is 1288 = 92X14.

The 15th student got 71. => The total score of 15 students is 1359= 1288+71

The average of 16 students is 88 => The total score of all the 16 students is 1408= 88x16

What is the score of the last student who took the quiz?

The total score of 16 students - The total score of 15 students is the answer.

Answer 2

The 14 students had a cumulative score of 1288 points (14 x 92)

Th 15th student added 71, bringing it to 1359

With the 16th student, getting x points, the average is (1359 + x ) / 16 = 88

Can you solve for x and answer?