SOLUTION: In a multiple choice test there are 20 questions. A correct answer to a question earns 2 marks, and an incorrect answer results in a deduction of one mark. Sarah acheived a mark of

Algebra ->  Equations -> SOLUTION: In a multiple choice test there are 20 questions. A correct answer to a question earns 2 marks, and an incorrect answer results in a deduction of one mark. Sarah acheived a mark of      Log On


   



Question 1011330: In a multiple choice test there are 20 questions. A correct answer to a question earns 2 marks, and an incorrect answer results in a deduction of one mark. Sarah acheived a mark of 19. How many questions did she get right?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of questions she got right
+20+-+x+ = number she got incorrect
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+2x+-+1%2A%28+20+-+x+%29+=+19+
+2x+-+20+%2B+x+=+19+
+3x+=+39+
+x+=+13+
She got 13 questions right
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check:
+2x+-+1%2A%28+20+-+x+%29+=+19+
+2%2A13+-+1%2A%28+20+-+13+%29+=+19+
+26+-+20+%2B+13+=+19+
+39+-+20+=+19+
+19+=+19+
OK