Rachel had 26 correct answers and 6 unanswered questions in a
quiz of 50 questions. The rest of the questions were incorrect.
Given that every correct answer, incorrect answer and unanswered
question is awarded 5 points, −2 points and 0 point respectively,
find the number of points Rachel got.

To determine the number of points Rachel earned, we need to calculate the points she received for correct answers, incorrect answers, and unanswered questions based on the scoring system.

**Step 1: Identify the number of incorrect answers.**

- Total questions: 50
- Correct answers: 26
- Unanswered questions: 6
- Incorrect answers: \( 50 - 26 - 6 = 18 \)

**Step 2: Calculate the points for each type of answer.**

- Points for correct answers: \( 26 \times 5 = 130 \) points
- Points for incorrect answers: \( 18 \times (-2) = -36 \) points
- Points for unanswered questions: \( 6 \times 0 = 0 \) points

**Step 3: Calculate the total points.**

\[
\text{Total points} = 130 + (-36) + 0 = 94 \text{ points}
\]

Thus, Rachel got **94 points** in the quiz.

Would you like more details or have any questions?

Here are some related questions to consider:
1. How would Rachel's score change if unanswered questions were awarded 1 point instead of 0?
2. If Rachel answered 5 more questions correctly, how many points would she have?
3. What would Rachel's score be if she had answered all questions but with the same number of incorrect answers?
4. How many more correct answers would Rachel need to reach 100 points?
5. What is the maximum possible score Rachel could achieve in this quiz?

**Tip:** When solving problems, always check if the sum of all parts matches the total given in the problem to avoid calculation errors.

Discover how many points Rachel earned in a quiz of 50 questions based on correct, incorrect, and unanswered answers. Includes step-by-step calculation and scoring system explanation. Suitable for Grades 5-6 students.

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