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tressasill
19.10.2020 •
Mathematics
On a standardized multiple choice test, 3 points were awarded for a correct answer, while a wrong answer caused a deduction of 1 point, and no points were awarded or deducted for omitted questions If Marjorie received a score of 84 when she omitted 4 of the 40 questions on the test, how many did she get right? How many did she get wrong?
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Ответ:
She got 30 questions right and 6 questions wrong.
Step-by-step explanation:
Let x = Number of correct questions, y = Number of wrong questions
As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.
Total score = 3x-1y
If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.
Now, x+y = 36 (1)
and 3x-y =84 (2) (as she scored 84)
Adding (1) and (2), we get
4x = 120
Divide both sides by 4, we get
x= 30
y = 36-30=6
hence, she got 30 questions right and 6 questions wrong.
Ответ: