What I need to have a passing grade on test

Question

I have a 81.7 in the class but my test average is 67.5 I need my test average to be 78 to pass the class before my homework grade can be counted. The final is 20% we taken 6 test already and it's a 12 week class what score do I need to make it

 

Answer 1

Hi LaTonya,

 

 Assuming your last test will be the final we can setup a weighted average to factor in the final being stronger than the other tests:

20% of the overall test grade comes from the final and the remaining comes from the other six tests.

 

      78 = (x)(20%) + (67.5)(80%)   converting the percentages to decimals give:

      78 =  x(.2)      + (67.5)(.8)       multiplying the decimals gives:

      78 = .2x          + 54

     -54                     -54                   subtracting 54 from both sides gives:

      24 = .2x                                  now we can multiply both sides by 5 because 5*.2=1

(5*24) = 5(.2x)

120     = x

 

You would need a 120 on the final to average a 78 for the test portion of the grade.