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Garth, I'm going to suggest an oldfashioned method that some 19th century school textbooks used to teach. It can be used for a lot of problems like this one. Can you find _some_ M and N such that M wrong answers balance N right answers? (Hint: play around with the numbers in the original problem.) For what total number of problems would this be a correct answer? Now scale this solution to get a solution to the real problem. Good Hunting!  


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