SOLUTION: test scores are 80 96 78 87 what does 5th test score need to be to have average of 84...how to figure this out?

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Question 104106: test scores are 80 96 78 87 what does 5th test score need to be to have average of 84...how to figure this out?
Answer by TP(29) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 5th score be x.
Now the average(mean)= (total of all values)/(the number of values).
Now the total of all values in your question is 80+96+78+87+x and the number of values in your question is 5. You are also told that the average value has to be 84.
So the average 84=(80+96+78+87+x)/5.
This means that 84=(341+x)/5.
Now multiply both sides of this equation by 5 and you get:
84*5=341+x
Which leads to 420=341+x
Now take away 341 from both sides of the equation and you get:
420-341=x
And so x=420-341=79.
The 5th test score then is 79ANS