1.) A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice question

Question

1.) 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?

Equation 1:

Equation 2:
Solution: multiple choice

I have the solution I just need to know how to get the equations

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Orla Orla 6 months 2021-07-26T14:49:06+00:00 1 Answers 21 views 0

Answers ( )

    0
    2021-07-26T14:50:17+00:00

    Answer:

    Multiple choice questions = 5

    True questions = 15

    Step-by-step explanation:

    Given that:

    Total number of questions = 20

    Total worth of point = 100

    Multiple choice questions (M) = 11 points each

    True false questions (T) = 3 points each

    Hence,

    M + T= 20 ____(1)

    11M + 3T = 100 ____(2)

    M = 20 – T

    Using the relation in (2)

    11(20 – T) + 3T= 100

    220 – 11T + 3T= 100

    220 – 8T = 100

    -8Tf = 100 – 220

    -8T = – 120

    T = 120/8

    T = 15

    Mc = 20 – 15

    Mc = 5

    Multiple choice questions = 5

    True false questions = 15

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