A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 poin

Discussion in 'Calculator Requests' started by math_celebrity, Mar 28, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A test has twenty 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?

    Let the number of true/false questions be t. Let the number of multiple choice questions be m. We're given two equations:
    1. m + t = 20
    2. 11m + 3t = 100
    We have a set of simultaneous equations. We can solve this using 3 methods:
    1. Substitution Method
    2. Elimination Method
    3. Cramer's Rule

    No matter which method we pick, we get the same answer:
    • m = 5
    • t = 15
     

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