SOLUTION: On a 100 question test, 9 points are given for each correct answer and 5 points deducted for each incorrect answer. Questions which are not answered are not included in the total s

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Question 293175: On a 100 question test, 9 points are given for each correct answer and 5 points deducted for each incorrect answer. Questions which are not answered are not included in the total score.What is the largest number of questions which can be answered to get a total score of 0?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

a=answered
n=not answered
r=right
w=wrong
a+n=100
r+w+n=100
9r-5w=0
9r=5w
r=5/9*w
If numbers must be integers then
n=2 w=63 r=35
98 answered wrong 63 and right 35 not answered 2
If fractional numbers are allowed then
total answered is 100
and w=64.2857
and r=35.7143
and n=0