SOLUTION: An assessment consists of 30 questions. 2 points are awarded for a correct answer and 1 point is deducted for an incorrect answer. No points are awarded or deducted for an unanswer

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Question 1119085: An assessment consists of 30 questions. 2 points are awarded for a correct answer and 1 point is deducted for an incorrect answer. No points are awarded or deducted for an unanswered question. Evelyn attempted 25 questions and her score was less than 45. Find the maximum number of correct answers she obtained.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, right---------- 2 points earned
w, wrong---------- 1 point loss
system%28r%2Bw=25%2C2r-w%3C45%29
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2r%3C45%2Bw
r%3C45%2F2%2Bw%2F2
r%3C45%2F2%2B%2825-r%29%2F2
r%3C45%2F2%2B25%2F2-r%2F2
r%2Br%2F2%3C35
%283%2F2%29r%3C35
r%3C%282%2F3%2935
highlight%28r%3C23%29--------whole value only; next greater value is too large.