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3 years ago

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The final grade in an algebra course is based on a weighted average - homework counts 10%, quizzes count 15%, tests count 50%, a

nd 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?

2 answers:

tresset_1 [31]3 years ago

8 0

Answer: 74

<u>Step-by-step explanation:</u>

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.

Drupady [299]3 years ago

8 0

<u>Answer:</u>

x = 74

<u>Step-by-step explanation:</u>

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

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