Wednesday, 20 October 2010

Test Marks

Question
In a test consisting of 30 questions there were 5 marks for each correct answer, but a penalty of 3 marks for each wrong answer. Fred scored a total of 46 marks.
If you call the number of correct answers Fred wrote 'X,' write an equation involving 'X' and solve it.


Answer
30 questions


5X - 3(30-X) = 46
5X - 90 + 3x = 46


8X = 136
X = 17


17 correct answers
13 wrong answers

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