. On a 26 question test, five points were deducted for each wrong answer and eight points were
added for each correct answer. If all the questions were answered, how many were correct, if the
score was zero?
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4
Answer:
Total correct answers are 10
Step-by-step explanation:
Let's assume the number of correct answers be "x", then the number of wrong answers would be (26-x)
Then, the total points for correct answers = 8x
And, the total points for wrong answers = 5(26 - x)
So the equation will be -
8x - 5(26 - x) = 0
⇒ 8x - 130 - 5x = 0
⇒ 3x = 130
⇒ x = 10
Hence, the total correct answers are 10, and total wrong answers are (26 - 10) = 16
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