SOLUTION: In the math contest of 20 problems 5 pts. were given for each correct answer and 2 points were deducted for each incorrect answer If Phillip answered scored 72 points How many corr

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Question 762837: In the math contest of 20 problems 5 pts. were given for each correct answer and 2 points were deducted for each incorrect answer If Phillip answered scored 72 points How many correct answer did he get?
Thank you

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of correct answers.
Then,
20-x= number of incorrect answers, and
score=5x-2%2820-x%29
So, if Phillips score was 72, for him,
5x-2%2820-x%29=72
That's the equation we have to solve.
5x-2%2820-x%29=72 --> 5x-40%2B2x=72 --> 7x-40=72 --> 7x=72%2B40 --> 7x=112 --> x=112%2F7 --> highlight%28x=16%29