Question

To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each incorrect answer is worth \large -\frac{1}{2} . If he gets 33 questions correct and 20 questions incorrect, how many points does he have? Does he win? (yes or no)

Answer 1

Nathan earned 100 points. he lost the trivia game by 5 points.

Explanation

3
`(1)/(3)` * 33 = 110 points earned

`(1)/(2)` * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.