Math Problem Statement

If 60% of my grade is 80% and the other 40% is 100% what's my total grade?

Solution

To calculate your total grade, we use the weighted average formula:

Total Grade=(Weight1×Grade1)+(Weight2×Grade2)\text{Total Grade} = (Weight_1 \times Grade_1) + (Weight_2 \times Grade_2)

Here:

  • Weight1=60%=0.6Weight_1 = 60\% = 0.6
  • Grade1=80%=0.8Grade_1 = 80\% = 0.8
  • Weight2=40%=0.4Weight_2 = 40\% = 0.4
  • Grade2=100%=1.0Grade_2 = 100\% = 1.0

Total Grade=(0.6×0.8)+(0.4×1.0)\text{Total Grade} = (0.6 \times 0.8) + (0.4 \times 1.0)

Total Grade=0.48+0.4=0.88\text{Total Grade} = 0.48 + 0.4 = 0.88

Convert back to percentage:

Total Grade=88%\text{Total Grade} = 88\%

Your total grade is 88%.

Would you like more details or have any questions?
Here are 5 related questions for further understanding:

  1. How is a weighted average different from a simple average?
  2. What happens if one weight is adjusted higher or lower?
  3. How does this method apply to other grading systems?
  4. What if the percentages don't add up to 100%?
  5. Can this method be used in real-world financial calculations?

Tip: Always double-check the weights and grades to ensure they sum correctly to 100%.

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Math Problem Analysis

Mathematical Concepts

Weighted Average
Percentages

Formulas

Total Grade = (Weight1 × Grade1) + (Weight2 × Grade2)

Theorems

-

Suitable Grade Level

Grades 6-8