Total Grade: 87.25%? Confused? Let's Calculate!

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To calculate the total grade from online and written homework, the correct formula is Total Grade = (Percentage worth * Percentage earned) / 100. For the given scores, the calculation shows that online homework contributes 18.72 points to the final grade. This results in a combined score of 77.22% from both sections. The written homework significantly impacts the overall grade, leading to an average of 78% when considering both assignments. The confusion arises from miscalculating the contributions of each assignment to the final grade.
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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
 
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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.
 
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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%.
 
Last edited:
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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