Grade Calculator: Find GPA & Subject Grades

  • Context: Undergrad 
  • Thread starter Thread starter smiley4080
  • Start date Start date
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Discussion Overview

The discussion revolves around creating a grade calculator that determines the necessary grades a student must achieve in various subjects to reach a desired GPA. Participants explore mathematical approaches and equations related to GPA calculation, including weighted averages and Diophantine equations.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant seeks assistance in developing a grade calculator that computes required grades based on expected GPA and credit hours.
  • Another participant suggests that achieving a 3.7 GPA can be done with various combinations of grades, emphasizing the concept of weighted averages.
  • A participant introduces the Diophantine equation to represent the problem mathematically, noting that while a specific solution of x = y = z = 3.7 is invalid, multiple solutions may exist.
  • Further clarification is provided regarding the granularity of the grading system, indicating that more solutions may arise with finer grading scales.
  • One participant expresses uncertainty about the correctness of the formula they used to calculate GPA, indicating a need for alternative methods.

Areas of Agreement / Disagreement

Participants generally agree that there are multiple combinations of grades that can achieve the desired GPA, but there is no consensus on the specific formulas or methods to derive these combinations.

Contextual Notes

Participants mention the importance of the grading system's granularity and the potential limitations of their proposed equations, which may depend on assumptions about grade values.

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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