3. In a quiz containing 10 questions, for every correct answer 3 marks
are given and for every incorrect answer (-1) is given
. Sonia
attempts all the questions. She gives 7 correct and 3 incorrect
answers. Find her final score



Answer :

Sure! Let's break down the question step-by-step to find Sonia's final score:

1. Determine the number of correct and incorrect answers:
- Sonia answered 7 questions correctly.
- Sonia answered 3 questions incorrectly.

2. Identify the marks awarded for correct and incorrect answers:
- For each correct answer, Sonia earns 3 marks.
- For each incorrect answer, Sonia loses 1 mark.

3. Calculate the total score from correct answers:
- For 7 correct answers, the total score would be:
[tex]\[ 7 \text{ (correct answers)} \times 3 \text{ (marks per correct answer)} = 21 \text{ marks} \][/tex]

4. Calculate the total penalty from incorrect answers:
- For 3 incorrect answers, the total penalty would be:
[tex]\[ 3 \text{ (incorrect answers)} \times (-1) \text{ (marks per incorrect answer)} = -3 \text{ marks} \][/tex]

5. Determine the final score by combining the scores from correct and incorrect answers:
- Add the total score from correct answers and the total penalty from incorrect answers:
[tex]\[ 21 \text{ marks (from correct answers)} + (-3 \text{ marks (from incorrect answers)}) = 18 \text{ marks} \][/tex]

Therefore, Sonia's final score in the quiz is 18 marks.