SOLUTION: A Math quiz has 25 questions. A correct answer earns 8 points, and a wrong one costs 3 points. Jess scores 110 points. How many questions does Jess answer?

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Question 358989: A Math quiz has 25 questions. A correct answer earns 8 points, and a wrong one
costs 3 points. Jess scores 110 points. How many questions does Jess answer?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let R be the number of right answers, W for wrong answers.
1.R%2BW=25
2.8R%2B%28-3%29W=110
Multiply eq. 1 by 3 and add to eq. 2 to eliminate W.
3R%2B3W%2B8R-3W=75%2B110
11R=185
Something is wrong with the problem setup since 11 is not a factor of 185, you won't get an integer answer for R as required.
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17 right, 8 wrong would give Jess 112 points.
16 right, 9 wrong would give Jess 101 points.