Algebra word problem
posted by Linda on .
There are 50 questions to answer in a triva 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?
Is the answer 22????

score = 10*right  4*wrong
s = 100 + 10r  4w
r+w = 50
so, to get at least 350,
100 + 10r  4(50r) > 350
100 + 10r  200 + 4r > 350
14r > 450
r > 32.14
so, at least 33 correct answers
100 + 32*10  18*4 = 348
100 + 33*10  17*4 = 362