To average a 90% after scoring an 82% and 96%, what do you need to score?
Mathematics · College · Thu Feb 04 2021
Answered on
Given the scores:
82% and 96%
Determine what score is needed to average 90%
Solution:
In order to determine what score is needed, we must familiarize ourselves with the formula for finding the average.
Average = Summation of Values/ Number of Values
90 =(96 + 82 + x )/ 3
Multiply 3 on both sides of the equation to cancel out 3 in the denominator
(3) 90 =(3) (96 + 82 + x )/ 3
270 = 96 + 82 + x
270 = 178 + x
Transpose 178 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
x = 270 - 178
x = 92
Final answer:
The 3rd score must be 92% in order to average 90%.