Let's go through the steps to find the number of points Calvin got.

Step 1: Determine the Number of Incorrect Answers

The quiz has 50 questions in total. Calvin answered 24 questions correctly and left 3 questions unanswered. The remaining questions must be incorrect.

Number of incorrect answers $= 50 - 24 - 3 = 23$

Step 2: Calculate the Points for Each Type of Answer

• Correct answers: Calvin earns 5 points for each correct answer.
  • Total points from correct answers $= 24 \times 5 = 120$ points.
• Unanswered questions: Calvin earns 0 points for each unanswered question.
  • Total points from unanswered questions $= 3 \times 0 = 0$ points.
• Incorrect answers: Calvin loses 1 point for each incorrect answer.
  • Total points from incorrect answers $= 23 \times (-1) = -23$ points.

Step 3: Calculate the Total Points

Total points $=$ Points from correct answers $+$ Points from unanswered questions $+$ Points from incorrect answers

Total points $= 120 + 0 - 23 = 97$ points.

Final Answer

Calvin got a total of 97 points.

Would you like further details or have any questions?

Here are five related questions to consider:

1. What would Calvin's score be if he had answered 28 questions correctly?
2. How many points would Calvin have if he left no unanswered questions?
3. What would be the impact on Calvin's score if incorrect answers were penalized by −2 points instead of −1?
4. If another student had 30 correct answers, 10 incorrect answers, and 10 unanswered questions, what would their score be?
5. How would the total score change if unanswered questions were awarded 2 points instead of 0?

Tip: Carefully tally the number of unanswered and incorrect questions to ensure the total adds up to the number of questions in the quiz.