Let's break down the problem step by step.

Step 1: Determine the Number of Incorrect Answers

The test has 30 questions in total. Stephanie answered 16 questions correctly and left 5 questions unanswered. The remaining questions must be incorrect.

Number of incorrect answers $= 30 - 16 - 5 = 9$

Step 2: Calculate the Points for Each Type of Answer

• Correct answers: Stephanie earns 5 points for each correct answer.
  • Total points from correct answers $= 16 \times 5 = 80$ points.
• Unanswered questions: Stephanie earns 0 points for each unanswered question.
  • Total points from unanswered questions $= 5 \times 0 = 0$ points.
• Incorrect answers: Stephanie loses 1 point for each incorrect answer.
  • Total points from incorrect answers $= 9 \times (-1) = -9$ points.

Step 3: Calculate the Total Points

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

Total points $= 80 + 0 - 9 = 71$ points.

Final Answer

Stephanie got a total of 71 points.

Would you like further details or have any questions?

Here are five related questions to consider:

1. What would Stephanie's score be if she answered 18 questions correctly?
2. How many points would she have if she had no incorrect answers but the same number of correct and unanswered questions?
3. What is the impact on the total score if each correct answer is worth 6 points instead of 5?
4. If another student had 10 correct answers, 10 incorrect answers, and 10 unanswered questions, what would their score be?
5. How would the score change if unanswered questions also resulted in a penalty of −1 point?

Tip: Always double-check the number of questions that remain after accounting for correct and unanswered responses to avoid calculation errors.