Given Problem Information
| Parameter | Value |
|---|---|
| Current Grade | 83% |
| Final Exam Weight | 25% (0.25) |
| Coursework Weight | 75% (0.75) |
| Target 1 (A-) | 90% |
| Target 2 (B) | 80% |
Step-by-Step Calculation
Determine Current Coursework Points
83 \times 0.75 = 62.25\text{ points secured}Points Marcus already owns towards his 100 course points.
Calculate Points Needed for 90%
90 - 62.25 = 27.75\text{ points needed}The gap Marcus must fill on the final.
Solve for Exam Score (Target: 90%)
27.75 \div 0.25 = 111.0\%Marcus would need 111% on the final to get an A- (impossible without extra credit).
Solve for Exam Score (Target: 80%)
(80 - 62.25) \div 0.25 = 17.75 \div 0.25 = 71.0\%Marcus only needs a 71.0% on the final to retain his solid B.
Final Solution Outcome
Marcus cannot reach 90% without extra credit, but he safely secures a B by scoring at least 71.0% on his final exam.
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