SOLUTION: A test has 30 questions, you earn 9 points for every correct answer but lose 5 points for every wrong answer. The final test score was 18, how many questions were answered correct

Question 692850: A test has 30 questions, you earn 9 points for every correct answer but lose 5 points for every wrong answer. The final test score was 18, how many questions were answered correctly?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set up:
A = # of correct answers
B = # of wrong answers
Equation 1:
Equation 2:
-------------------------------
Solve equation 2 for one of the variables. I soled for A

Now plug (30 - B) into equation 1 for A
Equation 1:

Simplify

Combine like terms

Subtract 270 from both sides

Divide both sides by -14

Now plug 18 into equation 2 for B
Equation 2:

Subtract 18 from both sides

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