Question

Mr. Nelson lost one of his student's test papers. He knows that the other 4 students scored as follows:35,24,34,27. He also knows that the average score is 29.4. what is the score on the missing paper?

Answer 1

Alright, let's assume the 5 scores of Mr. Nelson to be
\[S1, S2, S3, S4, S5\]
Now to find the average you would ... \[\frac{ Total-of-all-the-Scores }{ Number-of -Scores}\]
or
\[\frac{ S1+S2+S3+S4+S5 }{ 5 }=average\]
Now, you know 4 scores. Hence, let's assume that the missing score is a variable x, like so.
\[\frac{ 35+24+34+27+x }{ 5 }=29.4\]
From here on, it's a simple problem of solving ze equation. Cross multiply 5 with 29.4, and up the scores you have already...
\[120+x=147\]
Take 120 to the other side,
\[x=147-120\]
Which gives us 27, and your answer.
\[x=27\]

I hope that solved your problem. If you need any more help dont hesitate to ask. -swas.

Answer 2

Thank You! That helped

Answer 3

Anytime.