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

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Question 1160476: 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? Write an augmented matrix to represent this situation.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, you have these two equations


    T + M = 20       (1)    (T is the number of the T/F-questions);

   3T + 11M = 100    (2)    (M is the number of the multiple choice questions)


From equation (1), express T = 20-M and substitute it into equation (2)


    3*(20-M) + 11M = 100.


Simplify and solve for M


    60 - 3M + 11M = 100

    8M = 100 - 60 = 40

     M            = 40/8 = 5.


ANSWER.  5 multiple choice questions and  20-5 = 15  True/False questions.