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

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

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