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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

Ask by Whittaker Hall. in the United States
Jan 06,2025

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If Moussa gets 5 questions wrong, his score is 40 out of 50. If he gets \( x \) questions wrong, his score is \( 50 - 2x \) out of 50.

Solución

To determine Moussa's test score based on the number of questions he gets wrong, let's break it down step by step. ### Given: - **Total Points Available:** 50 points - **Points per Question:** 2 points - **Total Number of Questions:** \( \frac{50 \text{ points}}{2 \text{ points/question}} = 25 \) questions ### 1. If Moussa Gets **5 Questions Wrong**: - **Number of Correct Answers:** \( 25 \text{ questions} - 5 \text{ wrong} = 20 \) questions - **Score:** \( 20 \text{ correct} \times 2 \text{ points/question} = 40 \) points **Moussa's Score:** **40 out of 50 points** ### 2. If Moussa Gets **\( x \) Questions Wrong**: - **Number of Correct Answers:** \( 25 - x \) questions - **Score:** \( (25 - x) \times 2 = 50 - 2x \) points **Moussa's Score:** **\( 50 - 2x \) out of 50 points** ### Summary: - **5 Questions Wrong:** 40/50 points - **\( x \) Questions Wrong:** \( 50 - 2x \)/50 points --- **Example:** - If Moussa gets **3 questions wrong**: - **Score:** \( 50 - 2(3) = 44 \) points - **Result:** 44/50 points Feel free to plug in any value of \( x \) to find Moussa's corresponding score!

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Bonus Knowledge

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.

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