The history test has 19 questions. There are true or false questions worth 4 points each and multiple-choice questions worth 6 p

Question

The history test has 19 questions. There are
true or false questions worth 4 points each
and multiple-choice questions worth 6 points
each. How many multiple-choice questions
are on the 100 point test?

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Nevaeh 3 months 2021-10-08T15:20:30+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-08T15:21:55+00:00

    Answer:

    Step-by-step explanation:

    Let x be the number of true or false questions.

    Let y be the  number of multiple choice questions

    Total questions = 19

    x + y = 19   —————(i)

    Total points = 100

    4x + 6y = 100  —————(ii)

    Multiply equation (i) by (-4).

    (i)*(-4)            -4x – 4y = -76

    (ii)                  4x + 6y = 100   {Now add. thus x will get eliminated}

                                2y = 24

    y = 24/2

    y= 12

    There were 12 multiple choice question

    0
    2021-10-08T15:22:05+00:00

    Answer:

    12 multiple choice questions

    Step-by-step explanation:

    The system of equations is:

    m + t = 19 (quantity of questions)

    6m + 4t = 100 (point value)

    We use elimination to solve.

    Multiply everything in the first equation by 4.

    4m + 4t = 76.

    subtract that from the second equation.

    2m = 24

    Divide both sides by 2.

    m = 12

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45:7+7-4:2-5:5*4+35:2 =? ( )