SOLUTION: In a Math Olympiad quiz five points are awarded for a correct answer and two points are deducted for wrong answer or if a question is left unanswered. Taha attempted all 30 questio

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Question 1126524: In a Math Olympiad quiz five points are awarded for a correct answer and two points are deducted for wrong answer or if a question is left unanswered. Taha attempted all 30 questions and his total score for the quiz was not more than 66 Find the maximum number of correct answers he obtained.
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
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Let "C" represents the number of correct answers.


Then the number of incorrect answers is  (30-C).


The inequality is


    5C - 2*(30-C) <= 66.


    5C - 60 + 2C <= 66


    7C <= 66 + 60 = 126  ====>  C <= 126%2F7 = 18.


Answer.  The number of correct answers is not more than 18.


         Or, equivalently,  The number of correct answers is at most 18.

Solved.