HELLO ....How many questions did the student answer in total?
Mark took a 50-question test in which he tested:
3 points are awarded for each correct answer,
0 points for each unanswered question
and subtract 1 point for each incorrect answer.
Mark got 117 points
he knows that the number of questions he didn't answer is less than the number of questions he answered incorrectly.
How many questions did the student answer in total?
Mark took a 50-question test in which he tested:
3 points are awarded for each correct answer,
0 points for each unanswered question
and subtract 1 point for each incorrect answer.
Mark got 117 points
he knows that the number of questions he didn't answer is less than the number of questions he answered incorrectly.
How many questions did the student answer in total?
47
As 117/3 = 39 indicates that at least 39 questions have to be answered correctly. Additionally, the number of questions that have been answered correctly cannot be more than 41 because if it were, the number of wrong answers required to lower the score to 117 would be greater than the number of questions that are left (for example, if 42 questions were correct, (42 x 3) - 117 = 9, which would require 51 questions).
Consequently, there are three options for the total number of right responses:
39, 40, and 41
In order to bring the score back to 117, testing these out reveals that 39 correct answers would result in 0 incorrect answers, 40 would result in 3 incorrect answers, and 41 would result in 6 incorrect answers. However, since the number of incorrect answers is stated to be greater than the number of unanswered questions, the only possibility is 41 correct answers along with 6 incorrect answers and 3 unanswered questions:
50 - (41 + 6) = 3 (unanswered questions) 41 x 3 = 123 (total score from correct answers) 123 - 6 = 117 (incorrect answers subtracted)
As a result, the response is 47 questions addressed.
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To determine how many questions the student answered in total, I would need more information regarding the specific questions and the student's responses. Please provide additional details so that I can assist you accurately.
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