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Yadmine scored 104 points for attempting all 40m questions. If she was awarded 5 points for every correct answer and had 3 points deducted for every incorrect answer, how many questions did Yasmin answer incorrectly?

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Using a system of linear equation to represent the problem given, there are 12 incorrect answers given

  • Points per correct score = 5
  • Points deducted per incorrect score = 3
  • Number kd questions answered = 40

Let :

  • Number of correct answers = c

We could create an equation thus:

5(c) - 3(40 - c) = 104

Expand

5c - 120 + 3c = 104

8c = 104 + 120

8c = 224

c = (224 ÷ 8)

c = 28

Number of incorrect answers = 40 - 28 = 12

Therefore, there are 12 incorrect answers

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