SOLUTION: A test has 20 questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple-choice

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: A test has 20 questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple-choice      Log On


   

Question 1086434: A test has 20 questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple-choice questions are on the test?
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
T+M=20
3T+11M=100
multiply top by -3 and eliminate T
-3T-3M=-60
8M=40
M=5
5 M-C @11 points each =55 points
15 T-F @3 points each=45 points