if 40 percent of my grade is at a 97 percent average and 40 percent of my grade is at a 92 percent average and my final test is worth 20 percent of the grade then what do i have to score on my final test to have a grade of 91.5 percent or better?
let your final be x
.4(97) + .4(92) + .2x = 91.5
solve for x
I get 79.5
It certainly pays to check your work! I just took a huge science test. I checked it over twice before I turned it in, and I got an A! My score was 94 out of 100! I figure that each time I checked it, I found half of the mistakes that were there at a time. What would have been my score if I had not checked my work?
To determine the score you need on your final test to have a grade of 91.5 percent or better, we can follow these steps:
Step 1: Calculate the grade for the first part:
- Multiply the percentage weight (40%) with the average (97%):
40% * 97% = 38.8%
Step 2: Calculate the grade for the second part:
- Multiply the percentage weight (40%) with the average (92%):
40% * 92% = 36.8%
Step 3: Calculate the remaining percentage weight for the final test:
- Since the final test contributes 20% to your overall grade, it leaves 100% - 40% - 40% = 20%.
Step 4: Determine the minimum score needed for the final test:
- Let x be the score you need on the final test.
- Multiply the percentage weight (20%) with your desired overall grade (91.5%):
20% * 91.5% = 18.3%
Step 5: Set up an equation based on the contributions from all parts:
x (score on the final test) = 91.5% - 38.8% - 36.8% - 18.3%
Step 6: Solve the equation to find the minimum score needed on the final test:
x = 91.5% - 38.8% - 36.8% - 18.3%
By solving this equation, you will find the minimum score you need on your final test to have a grade of 91.5 percent or better.