Grade Calculator: Find GPA & Subject Grades

  • Context: Undergrad 
  • Thread starter Thread starter smiley4080
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SUMMARY

The forum discussion centers on creating a grade calculator to determine the necessary grades for achieving a specific GPA based on credit hours. The user seeks assistance in formulating an equation to calculate grades for three subjects with credit hours of 3, 4, and 8, aiming for a GPA of 3.7. The conversation highlights the use of a Diophantine equation, specifically 30x + 40y + 80z = 555, to find multiple grade combinations that yield the desired GPA. The discussion emphasizes the importance of understanding weighted averages and the granularity of the grading system.

PREREQUISITES
  • Understanding of weighted averages in GPA calculations
  • Familiarity with Diophantine equations
  • Basic knowledge of integer values in grading systems
  • Experience with mathematical problem-solving techniques
NEXT STEPS
  • Research how to solve Diophantine equations in practical applications
  • Learn about weighted average calculations in academic settings
  • Explore programming languages or tools for implementing GPA calculators
  • Investigate different grading systems and their granularity
USEFUL FOR

Students, educators, and developers interested in creating GPA calculators or understanding the mathematical principles behind grade calculations.

smiley4080
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Hello ,

I need some help>>>

I try to make Grade calculator The student must enter his expected GPA and the number of credit hours than the calculator must find the grade (e.g A,B+,B,...etc) in each subject

for example if I want to get 3.7 in this semester and I took 3subject with 3,4,8 hours respectively what's the grade that I must get in each.

I try to find an equation that will help me

but I get fail because I try manythings and many equation and formula but nothing work

So can you please help me?

Thanks
 
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smiley4080 said:
for example if I want to get 3.7 in this semester and I took 3subject with 3,4,8 hours respectively what's the grade that I must get in each.

3.7 in each will work as will anything that give a 3.7 average. Do you not know how to take a weighted average?

There is no ONE answer but a multitude of combinations.
 
Assuming that grades in each class are integer values, then you have the Diophantine equation
30x+ 40y+ 80z= 555. x= y= z= 3.7 is not a valid solution but there still may be many solutions.
 
HallsofIvy said:
Assuming that grades in each class are integer values, then you have the Diophantine equation
30x+ 40y+ 80z= 555. x= y= z= 3.7 is not a valid solution but there still may be many solutions.

Very good point. I was assuming fine granularity in the grading system, which of course may not be the case. smiley4080, the number of solutions will go up as the granularity of the grading system becomes finer. Probably I should say that the number of solutions will LIKELY go up as the ... since it COULD still be possible that there is only one combination. Clearly if the granularity is .1 points, then you can have 3.7 in each.
 
I know it me there are many possible answer but I need other formula which I used
I used the formula of how to get GPA to get one of possible answer but I thing is not correct way
 

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