What grade does Bob need on his final to pass his math class?

Question

Bob's teacher has a syllabus where the grading breakdown is as follows:

• Homework: 10%
• Tests (2): 60%
• Final Exam: 30%

• Bob receives all 10% from the homework
• Bob receives 78/100 on Test 1 (78%)
• Bob receives 94/100 on Test 2 (94%)

What grade does Bob need on the final exam to get an A in the class (Assuming an A is 90-100%)?

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I'm having troubles with Test 1 and Test 2. How do I find out how much percent out of 60 they get?

Answer 1

These are all weighted grades.

Homework Average: 100 Test Average: 86

Homework Weighted Average: $100\times0.10=10$ Test Weighted Average: $86\times0.6=51.6$

$\therefore (100\times0.10)+(86\times0.60)+(x\times0.30)=90$

Solve for $x$:

$x=94.7\therefore$ Bob must get at least a 95% on the final exam to get an A in the course