SOLUTION: Michael gets test grades of 73, 80, 85, and 88. He gets a 88 on his final exam. Find the weighted mean if the tests each count for 15% and the final exam counts for 40% of the fina

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Michael gets test grades of 73, 80, 85, and 88. He gets a 88 on his final exam. Find the weighted mean if the tests each count for 15% and the final exam counts for 40% of the fina      Log On


   

Question 1033280: Michael gets test grades of 73, 80, 85, and 88. He gets a 88 on his final exam. Find the weighted mean if the tests each count for 15% and the final exam counts for 40% of the final grade. Round to one decimal place.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the weighted mean would be:

.15 * (73 + 80 + 85 + 88) + .4 * 88 = 84.1

by the distributive law of multiplication, this is equivalent to:

.15 * 73 + .15 * 80 + .15 * 85 + .15 * 88 + .4 * 88.

15% is equal to 15/100 = .15
40% is equal to 40/100 = .40