# To win a trivia game, Nevan must score 90 points.

Each correct answer is worth 1 3/4 points, and each incorrect answer is worth −1/4 points.
If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?

1641564

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2063375

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## To determine if Nevan wins and how many points he scores, we will calculate his score.

Points for each correct answer: 1 3/4 = 7/4
Points for each incorrect answer: -1/4

Score for correct answers: (58 * 7/4) = 101.5
Score for incorrect answers: (22 * -1/4) = -5.5

Total score: (101.5 - 5.5) = 96

Since Nevan's score is 96, which is less than the required 90 points, he does not win the trivia game.

3347907

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## To determine if Nevan wins the trivia game and how many points he scores, we need to calculate the total score he earns.

Let's first calculate the total score for the correct answers:
Each correct answer is worth 1 3/4 points, which can be written as 7/4.
Nevan got 58 questions correct, so the total score for correct answers is:
58 * (7/4) = 101.5 points

Now, let's calculate the total score for the incorrect answers:
Each incorrect answer is worth -1/4 points.
Nevan got 22 questions incorrect, so the total score for incorrect answers is:
22 * (-1/4) = -5.5 points

Finally, let's add the total scores for correct and incorrect answers to find Nevan's overall score:
101.5 + (-5.5) = 96 points

Since Nevan's score is 96 points and he needs to score 90 points to win, he does win the trivia game.