Ihave a homework assignment that's due tomorrow in honors algebra. i need , i'm kind of stuck. here's the question:

there are 50 questions to answer in a trivia contest. each player starts with 100 points. he or she earns ten points for each correct answer, but will lose four points for each incorrect answer. each player must answer all 50 questions. what is the fewest number of questions a contestant must answer correctly to have a score over 350?

showing and explaining your work is essential!

The contestant must answer at least 33 questions correctly in order to end up with over 350 total points. The 100 they start off with means that they should really only have to answer 25 questions correctly, but this is not the case. 33 x 10 = 330, plus the first 100 = 430. This is necessary as a buffer, seeing as how if they get every question other than the necessary 33 wrong, it will be a reduction of 68 points total (17 incorrect, which is minus 4 = 68)
(430 - 68 = 362). I hope this was thoroughly explained and broken down! Best of luck!!

Really long apparently