Final answer:
To calculate the new grade after receiving a 60% on an assignment worth 100 points, multiply the initial grade by its weight and add the assignment score multiplied by its weight. Divide the weighted average by the total weight and multiply by 100 to find the new grade as a percentage. The initial grade drops to 68% after receiving a 60% on the assignment.
Step-by-step explanation:
To calculate the new grade after receiving a 60% on an assignment worth 100 points, we need to find the weighted average of the initial grade and the assignment score. The initial grade is 76% and the assignment is worth 100 points. To find the weighted average, we multiply the initial grade by its weight (out of 100) and add the assignment score multiplied by its weight (out of 100). So, the new grade can be calculated as:
New Grade = (76% * 100) + (60% * 100)
New Grade = 7600 + 6000
New Grade = 13600
The total weight is 200 because the initial grade is out of 100 and the assignment is out of 100. To find the new grade as a percentage, we divide the weighted average (13600) by the total weight (200) and multiply by 100:
New Grade = (13600 / 200) * 100
New Grade = 68%
Therefore, the initial grade drops to 68% after receiving a 60% on the assignment.