You only have 3 questions left to raise your score. Question Watch Video Show Examples Moussa is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Moussa's test score (out of 50) if he got 5 questions wrong? What would be his score if he got \( x \) questions wrong? Answer Attempt 1 out of 2
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If Moussa got 5 questions wrong, that means he got \( 50 - 5 = 45 \) questions correct. Since each question is worth 2 points, his score would be \( 45 \times 2 = 90 \) points. However, since the maximum score is 50 points, this indicates that the test might have been miscalibrated unless we interpret it as only a proportion of correct answers, meaning his effective score would be \( \frac{90}{100} \times 50 = 45 \) out of 50. Now, if Moussa got \( x \) questions wrong, then he would have \( 50 - x \) questions correct, leading to a formula for his score: \( (50 - x) \times 2 = (100 - 2x) \). To find his score out of 50, we can express it as \( \frac{100 - 2x}{100} \times 50 = 50 - x \), indicating that each wrong answer deducts a point from the total score of 50.