Question

- Peter takes an online quiz with 30 questions. He earns 2 points for every correct answer but loses 1 point for every incorrect answer. If 10 questions out of 30 are answered correctly, what is Peter's final score?

Answer 1

Peter's final score on the online quiz, after earning 2 points per correct answer and losing 1 point per incorrect answer out of 30 questions, is 0 points.

Step-by-step explanation:

Peter takes an online quiz with 30 questions. He earns 2 points for every correct answer but loses 1 point for every incorrect answer. If 10 questions out of 30 are answered correctly, to calculate Peter's final score, we have to first calculate the points gained from the correct answers and then subtract the points lost from the incorrect answers.

For the correct answers: 10 questions × 2 points per question = 20 points.

For the incorrect answers: (30 questions - 10 correct) × -1 point per wrong answer = -20 points.

Now, we add the points from correct answers to the points lost from the incorrect answers to find the final score:

20 points (from correct answers) - 20 points (from incorrect answers) = 0 points as the final score.