Calculating weighted grade from homework components

[ProBasket]

let's say i had 115% for my online homework which is worth 16% of the final grade and 4% for my written homework which is worth 8% of the final grade. how would i find my total percent for both online+hw together? I am thinking (115/2 + 115 + 2)/2 = 87.25% for both written homework and online together? it seems wrong

 

[whozum]

For n divisions of the total 100%:

$$Total\ Grade= \sum^n_1 \frac{(Percentage\ worth)(Percentage\ earned)}{10000}$$

$$= \frac{(115)(16)+(4)(8)}{10000} = 18.72$$ percent of your entire grade. Out of those two sections alone you have 77.22% . That 4% in homework is killing you.

 

[quasar987]

115*0.16 + *0.08 = 18.7/100 (i.e. those two homework got you 18.7 points on your final grade)

Or, and I think this is what you're looking for,

you got 18.7 points out of a possible 24, meaning an average grade of 78%.