The final grade in an algebra course is based on a weighted average - homework counts 10%, quizzes count 15%, tests count 50%, and the final exam counts 25%. A student has a homework average of 67, a quiz average of 62, and a test average of 71. What minimum score does the student need on the final exam to get at least a 70 for the final course grade?

x = 74

Step-by-step explanation:

To find the minimum score a student needs to score on the final exam to earn at least a 70 for the final course grade, we will multiply the student's scores with their respective weight-age.

Supposing the minimum score in the final exam to be x, we can write an equation:

Homework + quizzes + tests + final exam = 70

67 (10%) + 62 (15%) + 71 (50%) + x (25%) = 70

6.7 + 9.3 + 35.5 + 0.25x = 70

51.5 + 0.25x = 70

0.25x = 18.5

x = 74

Answer: 74

Step-by-step explanation:

Homework + Quiz + Test + Final Exam = 70

67 (10%) + 62 (15%) + 71 (50%) + x (25%) = 70

6.7 + 9.3 + 35.5 + 0.25x = 70

51.5 + 0.25x = 70

0.25x = 18.5

x = 74

The minimum score is 74.