A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade. What is the best course grade your friend can earn? % What is the minimum score would your friend would need on the final to earn a 75% for the course? %

Step-by-step explanation:

Assuming the maximum score for the final is , we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of , their overall grade for the course would be:

.

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

, where is the minimum score she needs.

Solving, we get:

.