To calculate Raffe's final grade, we need to find the weighted average of all the tests and exams.
Let x be the mark Raffe needs to get on the final exam.
The weighted average formula is:
(20% * 68% + 20% * 74% + 20% * 84% + 40% * x) / 100% = 70%
Simplify the equation:
(0.2 * 68 + 0.2 * 74 + 0.2 * 84 + 0.4 * x) / 1 = 70
(13.6 + 14.8 + 16.8 + 0.4x) = 70
45.2 + 0.4x = 70
0.4x = 24.8
x = 62
Therefore, Raffe must score at least 62% on the final exam to achieve a final grade of 70%.
Raffe wrote three math tests each worth 20% of his final grade. Raffe got marks of 68%, 74%, and 84 %. What mark must Raffe get on the final exam (worth 40%) if Raffe wants a final grade of 70%? Step by step explanation
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