pythagoras123
  • pythagoras123
There are 20 questions in a quiz. 5 marks are awarded for each correct answer, 2 marks are deducted for each wrong answer and 1 mark was awarded if the question was not attempted. Sophia got 67 marks altogether. How many questions did she get correct?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
assumeing that 15 correct ans...
anonymous
  • anonymous
she got 14 right 3 wrong and skipped 3
anonymous
  • anonymous
this makes total score of 67 :D

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anonymous
  • anonymous
good logic @hashsam1
anonymous
  • anonymous
14*5=70 right answers 3*2=6 wrong ones 70-6=64 as she had skipped 3 thus she was awarded 3 marks her total score 64+3=67 Thanks
marco26
  • marco26
Hmm, I guess this is the equation ,, :) not sure, though 5x + y -2z = 67 x + y + z = 20 Let x be the no. of correct answer, y be the skiipped answer, z be the wrong no...and solve,,:)
anonymous
  • anonymous
@marco26 can you solve that for us? :P
marco26
  • marco26
this is consistent with hashsam1 's answer
marco26
  • marco26
lol,, this can be done by gauss jordan reduction, or any convenient method,..anyway, the answer is already there :)

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